2.1-2.3 Flashcards

1
Q

arithmetic sequences

A

have a constant roc over equal length intervals (d)
behave like linear functions, except not continuous

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2
Q

arithmetic formulas/equations

A

An=A0+DN
or
An=Ak+D(N-K)

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3
Q

A0

A

initial term

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4
Q

D

A

common difference

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5
Q

geometric sequences

A

successive terms have a proportional change over equal length intervals
behave like exponential functions

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6
Q

geometric formulas/equations

A

Gn=G0R^N
or
Gn=GkR^(N-K)

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7
Q

linear vs exponential formulas

A

y=mx+b or y=ab^x

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8
Q

linear vs exponential change

A

addition or multiplication

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9
Q

be careful…

A

what do the x values change by??? especially when determining the d or r of a table

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10
Q

linear function

A

straight line
y=mx+b

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11
Q

quadratic function

A

parabola
y=x^2+b

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12
Q

exponential function

A

curved line
y=ab^x

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13
Q

in exponential functions

A

a cannot be zero and b cannot be one

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14
Q

a

A

initial amount

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15
Q

b

A

base or common ratio

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16
Q

if a is positive and b is greater than one

A

exponential growth

17
Q

if a is positive and b is a fraction

A

exponential decay

18
Q

exponential functions have no

A

max/min, points of inflection

19
Q

limits

A

approach +/- inf or zero