Inductive reasoning 3 | Sequences, series and induction | Precalculus | Khan Academy
A1 A2 B1 B2 C1 C2
datum
US / ˈdeɪtəm /
•UK / ˈdetəm, ˈdætəm, ˈdɑtəm /
- noun
- Item of factual information
with
US / wɪð /
•UK / wɪð, wɪθ /
- preposition
- As an employee of a certain company
- Against something or someone
- By using something as a means
- Due to; because of
- Including
- Possessing as a feature
- Related to
- (Of the manner/attitude by which you do something)
- Used to express that people or things are together
have
US / həv /
•UK / hæv /
- verb
- To drink, smoke, eat or use something
- To experience the effects of something
- To organize an event, or join in an activity
- To own, possess, or hold something
- To cause to happen or produce a particular effect
negative
US / 'neɡətɪv /
•UK / ˈnɛɡətɪv /
- adjecitve
- Being harmful, unwanted or unhelpful
- In mathematics, being less than zero
- Focusing on the bad aspects; pessimistic
- noun
- The opposite to a positive electrical charge
- In grammar, containing words such as 'no' or 'not'
- Reply to a question or statement that means 'no'
- Image on camera film used to make a photo
onto
US / ˈɒntə /
•UK / ˈɑnˌtu, -tə, ˈɔn- /
- preposition
- Towards a certain direction/into a certain area
see
US / si: /
•UK / si /
- verb
- To go on a date with someone
- To predict whether something is, or will be true
- To understand what someone says
- To use your eyes to look at something
- To visit a place often for sightseeing or pleasure
- To visit or meet with someone
- To find out by waiting or looking
- To watch (a game, movie or TV show)
algebraically
US / ˌældʒɪˈbreɪkli /
•UK / ˌældʒəˈbreɪɪkli /
- adverb
- In an algebraic manner
know
US / nəʊ /
•UK / noʊ /
- verb
- To be familiar with a person or place, thing
- To feel sure or be convinced about something
- To discover or be aware of something
- To be able to distinguish
- To have knowledge of things
sample
US / ˈsɑ:mpl /
•UK / ˈsæmpl /
- noun
- A small quantity of something used as a taster
- verb
- To try (e.g. food, drink), to see if you like it
equal
US / 'i:kwəl /
•UK / ˈikwəl /
- adjecitve
- Same in shape, size, or number
- verb
- To add up or be the same as
now
US / naʊ /
•UK / naʊ /
- adverb
- At the present time or moment
- Right away or in the next possible moment
- Used to refer to something that just happened
- Time between the present and a moment in the past
- conjunction
- Resulting from or because of something
reasoning
US / ˈri:zənɪŋ /
•UK / ˈrizənɪŋ /
- verb
- To think and make conclusions in a logical manner
distribute
US / dɪˈstrɪbju:t /
•UK / dɪˈstrɪbjut /
- verb
- To hand out or give to people
- To send products to stores to sell
- To spread something over an area
generalization
US / ˌdʒenrəlaɪˈzeɪʃn /
•UK / ˌdʒenrələˈzeɪʃn /
- noun
- Making a statement about a group from limited data
not
US / nɒt /
•UK / nɑt /
- adverb
- Word indicating the negative
- (Used to form the negative of verbs)
reasonable
US / ˈri:znəbl /
•UK / ˈrizənəbəl /
- adjecitve
- Being somewhat good, but not great
- Fair and sensible; appropriate
would
US / wʊd /
•UK / wʊd /
- other
- Used to indicate something imagined
- Used to ask or request something politely
- Verb used to indicate possibility, request etc.
- Used to indicate a preference
- Used to indicate a reaction
- Indicates something that occurred repeatedly
- Used to indicate willingness or ability to do
seven
US / ˈsevn /
•UK / ˈsɛvən /
- number
- Number 7
same
US / seɪm /
•UK / sem /
- adjecitve
- Being equal in quality and amount
- Identical; not different
- Not changing; constant
but
US / bət /
•UK / bʌt,bət /
- conjunction
- Used before you say something different, opposite
give
US / ɡɪv /
•UK / ɡɪv /
- noun
- Degree of flexibility in something, a material
- verb
- To hand over or present something to someone
- To cause someone to have or experience something
pattern
US / 'pætn /
•UK / ˈpætən /
- noun
- Model to follow in making or doing something
- Colors or shapes which are repeated on objects
- Regular repeated behavior
- verb
- To copy the way something else is made
conjecture
US / kən'dʒektʃə(r) /
•UK / kənˈdʒɛktʃɚ /
- noun
- Forming an opinion/conclusion with little evidence
prove
US / pru:v /
•UK / pruv /
- verb
- To demonstrate truth by providing evidence
cancel
US / 'kænsl /
•UK / ˈkænsəl /
- verb
- To end a legal, business, or other agreement
- To stop a planned event from happening
look
US / lʊk /
•UK / lʊk /
- noun
- Person's beauty or physical attractiveness
- Particular style of dress, clothes, or appearance
- The way someone, something appears to be
- Act of searching for or examining something
- verb
- To appear to be; seem
multiply
US / ˈmʌltɪplaɪ /
•UK / ˈmʌltəˌplaɪ /
- verb
- To increase in number by reproducing/having babies
- To increase something by a large quantity
- To have increased by a large quantity
- To calculate two numbers e.g. 2 x 4
expression
US / ɪk'spreʃn /
•UK / ɪkˈsprɛʃən /
- noun
- Act of making your thoughts and feelings known
- Group of words that have a specific meaning
hold
US / həʊld /
•UK / hold /
- noun
- Section of a ship or plane used for storing things
- Influence or power held over someone
- Place of support for hands or feet when climbing
- verb
- To agree to keep something for someone
- To have the capacity to support/contain something
- To control an area and protect it from attack
- To not allow someone to leave a place
- To cause an event to happen at a place or time
- To use hands or arms to carry or keep something
- To have a specific quality or property
- To keep an image, belief or feeling in your mind
- To have or own something
- To wait before being able to talk on the phone
- To limit the movement of someone in a sport
take
US / teɪk /
•UK / tek /
- noun
- Filming of a single scene for TV or the movies
- verb
- To accept something that is offered
- To use a method of traveling, e.g. a bus or train
- To use a camera to make (a photo)
- To pick up something and go away with it
- To study a subject in school
- To attempt to pass (an exam)
- To require a certain amount of time, money, space
all
US / ɔ:l /
•UK / ɔl /
- adverb
- Completely; totally
- determiner
- Being every one of something
- pronoun
- 100% of something; the complete amount
down
US / daʊn /
•UK / daʊn /
- adjecitve
- Being sad, sick, or unhappy
- Not operating, working, or functioning as expected
- adverb
- In a sitting or lying position
- Towards or on the ground, floor, or bottom
- Written or copied onto a piece of paper or book
- noun
- A period of play in American Football
- The soft, smooth hairs that cover a bird's body
- preposition
- Along something's path, course, or direction
- Going from a higher position to a lower position
- verb
- To eat or drink very quickly and without stopping
then
US / ðen /
•UK / ðɛn /
- adverb
- A time that is not now
- Following another thing in time or arrangement
- Following on reasonably from what was just stated
- At that time, not now
type
US / taɪp /
•UK / taɪp /
- noun
- Printed letters or blocks used for printing them
- Group of things or people sharing common features
- verb
- To identify something belonging to a group
- To write by touching keys on a keyboard
number
US / ˈnʌmbə(r) /
•UK / ˈnʌmbɚ /
- noun
- Symbols such as 1, 2, 56, 793
- Particular song or dance performed during a show
- Total quantity or amount of things
- verb
- To put numbers on things
- To assign a sequence within a group, series, set
- To claim to be part of a larger group, series, set
square
US / skweə(r) /
•UK / skwɛr /
- adjecitve
- Being fair or honest
- Multiply a number by itself e.g. 2x2 or 6x6
- noun
- Shape with 4 equal length sides and 4 equal angles
- The result of multiplying Length by the width
- Open public area in the middle of the town
- verb
- To make something balance or be equal
- To multiply a number by itself, e.g. 2x2 or 6x8
- To straighten the edge to form a four-sided shape
again
US / ə'ɡen /
•UK / əˈɡɛn /
- adverb
- One more time, once more
like
US / laɪk /
•UK / laɪk /
- adjecitve
- Being equal in status or kind to something else
- Similar; the same
- adverb
- For example
- preposition
- Used as a filler; used to ad emphasis
- In a way similar to the way something is done
- Such as; for example
- verb
- To want to
- To find something pleasing; to prefer something
that
US / ðæt /
•UK / ðæt, ðət /
- adjecitve
- The person or thing being talked about
- Used to identify something both the speakers know
- adverb
- Used to reinforce adjectives and adverbs
- To such a degree
- conjunction
- Used to connect a noun clause
- Used to introduce an adverbial clause
- Used to introduce a noun clause
- determiner
- Used as a noun to refer to something
- pronoun
- Referring an object far away
- Used to refer to the relative pronoun ‘which’
what
US / wɒt /
•UK / hwɑt, hwʌt, wɔt, wʌt,hwət, wət /
- pronoun
- Thing or things that; the same kind as
- Used to emphasize something you are about to say
- adjecitve
- Used to refer to a particular amount, or number
- Used to place emphasis on a particular quality
- adverb
- To a certain degree
- determiner
- Question words used for asking for information
- exclamation
- Used to express excitement, shock, or surprise
- Used to ask people to repeat something they said
example
US / ɪgˈzɑ:mpl /
•UK / ɪɡˈzæmpəl /
- noun
- Thing, person which represents a category
first
US / fɜ:st /
•UK / fɚst /
- adjecitve
- 1st; Coming before all others in time or place
- noun
- Something that has not happened before
- Position of the winner of a competition
get
US / ɡet /
•UK / ɡɛt /
- verb
- To become affected by illness or disease
- To begin to feel or understand an emotion or idea
- To send or bring someone or something home, etc.
- To go somewhere to obtain something
- To (cause to) do a particular thing
- To obtain, receive or be given something
- To currently have
- To prepare for use
- To understand something being said or read
second
US / 'sekənd /
•UK / ˈsɛkənd /
- adjecitve
- 2nd; the one following first
- noun
- Unit of time; one sixtieth of a minute
- Short period of time that you wait for someone
- (Do) soon
- verb
- To agree to support a proposal at a meeting
unproven
US / ˌʌnˈpruːvn /
•UK / ˌʌnˈpruːvn /
- adjecitve
- Not proved
explain
US / ɪk'spleɪn /
•UK / ɪkˈsplen /
- verb
- To make clear or easy to understand by describing
sure
US / ʃʊə(r) /
•UK / ʃʊr /
- adjecitve
- Having no doubts about something
- Have confidence in your own words or actions
- Firmly established or held; being firm or stable
- Being correct or true
- adverb
- What you say to agree willingly
third
US / θɜ:d /
•UK / θɜ:rd /
- adjecitve
- 3rd: Number after second
here
US / hɪə(r) /
•UK / hɪr /
- adverb
- In this place; at this location, position or time
actually
US / ˈæktʃuəli /
•UK / ˈæktʃuəli /
- adverb
- Used to add new (often different) information
use
US / ju:s /
•UK / ju:s /
- noun
- Ability to employ something
- Need to enable it to work
- Permission to do something with something
- Act of spending money
- Operation of a machine for its function
- verb
- To have; to eat, drink, consume etc.
- To need to operate or work
- To operate a machine, e.g. a computer
- To treat a person badly
- To do something with, for a task or purpose
write
US / raɪt /
•UK / raɪt /
- verb
- To compose letters and words on paper or a screen
- To invent or create a computer program
- To create a song or piece of music
continue
US / kən'tɪnju: /
•UK / kənˈtɪnju /
- verb
- To do something without stopping, or after pausing
- To start doing again after a break, pause, or stop
should
US / ʃʊd /
•UK / ʃʊd /
- other
- Used to indicate what is proper or reasonable
true
US / tru: /
•UK / tru: /
- adjecitve
- Agreeing with the facts; not false; real or actual
probably
US / ˈprɒbəbli /
•UK / ˈprɑbəbli /
- adverb
- That is likely to happen or be true
plus
US / plʌs /
•UK / plʌs /
- noun
- A benefit or advantage
- preposition
- In addition; add
- In addition to; Indicates a number above
- Having a value greater than zero
fact
US / fækt /
•UK / fækt /
- noun
- Something that is known or proved to be true
much
US / mʌtʃ /
•UK / mʌtʃ /
- adjecitve
- Very; to a high level or degree
- adverb
- A lot; large amount; a high degree of
- Nearly; basically
- On many occasions; often
- noun
- A large amount; a great quantity
statement
US / ˈsteɪtmənt /
•UK / ˈstetmənt /
- noun
- Record of activity in a bank account over time
- Act or process of saying something formally
strong
US / strɒŋ /
•UK / strɔŋ /
- adjecitve
- (Of tea or beer) dark or thick
- Having big muscles; physically powerful
set
US / set /
•UK / sɛt /
- adjecitve
- Prepared for something; ready
- noun
- Complete group of something
- Place where a television show or movie is filmed
- Group of games in a tennis match
- Device that receives radio or television signals
- verb
- To make a clock state or ring at a particular time
- To decide upon or choose something
- To make something ready for use (e.g. table)
- To decide on a price for something
- To become hard (of glue, concrete etc.)
- To be located in a specific place or time
- To put (e.g. a vase) down carefully in a place
- To put someone in a certain condition or state
- (Of the sun) to go lower than the horizon
well
US / wel /
•UK / wɛl /
- adjecitve
- Being in a fortunate, good condition or state
- Healthy and in good condition
- adverb
- In an acceptable, proper, or successful manner
- In a complete, total, or full manner
- A great and considerable degree
- In a successful way, in a good or satisfactory way
- exclamation
- Used to begin or continue a particular statement
- Used to show you want to start saying something
- Used to express that you are waiting for a reply
- You say this to change the topic of a conversation
- Used to indicate you are making a final remark
- noun
- Long deep hole in the ground to get water
- verb
- To cause your eyes to fill with tears
question
US / 'kwestʃən /
•UK / ˈkwɛstʃən /
- noun
- Issue or problems you are dealing with
- What you ask about; issue
- verb
- To ask for or try to get information
- To have or express concerns or uncertainty
situation
US / ˌsɪtʃuˈeɪʃn /
•UK / ˌsɪtʃuˈeʃən /
- noun
- Place, position or area that something is in
- Circumstance or condition surrounding an event
- An unexpected problem or difficulty
for
US / fə(r) /
•UK / fɔr,fə /
- preposition
- Used to show the purpose, or need of something
time
US / taɪm /
•UK / taɪm /
- noun
- Speed at which music is played; tempo
- Point as shown on a clock, e.g. 3 p.m
- Number of hours, minutes needed to do something
- Occasion when something happens
- Period or occasion that something occurred
- Period in history or the past
- Something measured in minutes, hours, days, etc.
- How long an event takes; duration
- verb
- To check speed at which music is performed
- To choose a specific moment to do something
- To measure how long an event takes, e.g. a race
- To schedule something to occur at a specific moment
why
US / waɪ /
•UK / hwaɪ, waɪ /
- adverb
- Question word to ask for a reason
- exclamation
- (Used to express surprise or approval)
just
US / dʒʌst /
•UK / dʒʌst /
- adjecitve
- Proper or appropriate; as is deserved
- Doing or being what is right or fair
- Legally correct; having enough evidence
- adverb
- Almost; nearly
- Exactly at the time of
- Exactly (the same as, like)
distributive
US / dɪˈstrɪbjətɪv /
•UK / dɪˈstrɪbjətɪv /
- adjecitve
- Serving to distribute or allot or disperse
base
US / beɪs /
•UK / bes /
- noun
- Place military personnel live, train, and operate
- Bottom part of an object that touches a surface
- Unit of counting, e.g. 10 for counting
- Most important idea or ingredient to add others
- Origin or start from which something came
- Main place where an organization or a person works
- verb
- To use as the starting point or origin for
- To have as the main location for (company, etc.)
and
US / ənd /
•UK / ənd, ən,ænd /
- conjunction
- Used to refer to two or more things
- Plus; in addition; on top of that
- Used to introduce an action that follows another
incorrect
US / ˌɪnkəˈrekt /
•UK / ˌɪnkəˈrɛkt /
- adjecitve
- Being wrong or inaccurate
proposition
US / ˌprɒpəˈzɪʃn /
•UK / ˌprɑ:pəˈzɪʃn /
- noun
- General claim or theory
- Something you want to do that may be difficult
couple
US / 'kʌpl /
•UK / ˈkʌpəl /
- noun
- Two people in a romantic relationship
- Two of something; two people; a pair
- verb
- To join something to something else
- (Two animals) to engage in sexual relations
- To put two people or things together
keep
US / ki:p /
•UK / kip /
- noun
- Large, strong tower in the middle of a castle
- Money spent on you so you can live in a place
- verb
- To continue doing something; not to stop
- To stop balls going in a goal in sports
- To not give back or return something
- (Of food) to not spoil or not rot
- To take possession of something to own, e.g. a pet
- To have and continue to hold something
- To do something that you have promised or agreed
- To stay in a certain place or condition
- To maintain the rules
far
US / fɑ:(r) /
•UK / fɑr /
- adjecitve
- A long way away
- Being a long way away
- adverb
- To a large degree or extent
proof
US / pru:f /
•UK / pruf /
- noun
- Act of showing that something exists or is true
- Version of a document to be checked for errors
- Special coating that protects something
- Something which shows that something else is true
- verb
- To read a written work to check for mistakes
- To protect by painting on a special coating
minus
US / ˈmaɪnəs /
•UK / ˈmaɪnəs /
- adjecitve
- Being close to the bottom of a letter grade
- noun
- Negative quality; disadvantage
- Sign that indicates subtraction
- preposition
- Being less than zero in number
- Used when subtracting one number from another
- verb
- To take one number away from another; subtract
out
US / aʊt /
•UK / aʊt /
- adverb
- No longer stylish (e.g. fashion)
- Away from home, business, or the usual place
- In a direction/movement away from inside or center
- noun
- Act when a batter cannot continue playing
- verb
- To tell people a secret
over
US / 'əʊvə(r) /
•UK / ˈovɚ /
- adverb
- Finished; no longer happening
- Towards the ground/away from a standing position
- noun
- A set of six consecutive balls bowled in cricket
- other
- Finished
- preposition
- Showing the relation when a thing is above another
- On or covering something
- Above or across something
- More than you need
- From one side to the other
- In the direction of; toward
think
US / θɪŋk /
•UK / θɪŋk /
- verb
- To have an idea about something without certainty
- To have an idea, opinion or belief about something
cube
US / kju:b /
•UK / kjub /
- noun
- Solid object that has six square sides
- verb
- To cut food into the shape of small cubes
- To multiply a number by itself three times
inductive
US / ɪnˈdʌktɪv /
•UK / ɪnˈdʌktɪv /
- adjecitve
- Arising from inductance
you
US / jʊ /
•UK / ju /
- pronoun
- Person someone is speaking or writing to
- Person or people in general
this
US / ðɪs /
•UK / ðɪs /
- adjecitve
- Used to indicate something already been discussed
- Used to indicate something happening around now
- adverb
- An indication by a physical motion or gesture
- A specific amount of
- determiner
- Person, thing, or idea near you
- pronoun
- Person, thing that has already been discussed
term
US / tɜ:m /
•UK / tɚm /
- noun
- Conditions applying to an agreement, contract
- Length of time something is expected to happen
- Fixed period of weeks for learning at school
- The (precise) name given to something
- verb
- To call; give a name to
three
US / θri: /
•UK / θri /
- number
- Number 3
carlos
US / kɑ:ˈlail /
•UK / kɑrˈlaɪl, ˈkɑrˌlaɪl /
answer
US / 'ɑ:nsə(r) /
•UK / ˈænsɚ /
- noun
- Reply to a question someone asks
- Solution to a problem or test question
- verb
- To reply to a question someone asks
- To solve a test question or a problem
follow
US / ˈfɔləu /
•UK / ˈfɑlo /
- verb
- To come after someone; be guided by someone
- To support someone, e.g. singer or comedian
- To be the logical result of something
- To happen after something else happens
- To believe a set of values or a moral teacher
- To understand something happening or being said
entire
US / ɪn'taɪə(r) /
•UK / ɛnˈtaɪr /
- adjecitve
- Complete or full; with no part left out; whole
into
US / 'ɪntə /
•UK / ˈɪntu /
- preposition
- Moving or going inside something
- In the same direction as; in the direction of
- So as to become; taking the state of
one
US / wʌn /
•UK / wʌn /
- pronoun
- You; we; people in general; someone
- The thing or person previously referred to
- adjecitve
- Used to refer to people generally
- Being a strong example of (something mentioned)
- number
- Number 1
make
US / meɪk /
•UK / mek /
- noun
- Product made by a particular company; brand
- verb
- To arrange or prepare something e.g. dinner
- To get to (a place) on time
- To gain the status of (teacher, lawyer, etc.)
- To create something by putting things together
- To earn a certain amount of money at a job
- To cause or force a person to do something
- To cause something to happen or be formed
let
US / let /
•UK / lɛt /
- verb
- To allow someone to do something
- Introducing a suggestion to do something together
- To rent a house, etc. to others
might
US / maɪt /
•UK / maɪt /
- other
- Used to politely request an action
- Used to express that something could happen
- Power, strength, force or influence
the
US / ðə /
•UK / ðə /
- article
- Used to refer to something already mentioned
- Used to show there is only one of something
- determiner
- Used to describe all of a family