Geometric Sequences and Exponential Functions Flashcards

1
Q

What is the explicit rule for a geometric sequence?

A

f(n)= f(1) * r ^ n-1

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2
Q

What is the recursive rule for geometric sequence?

A

f(1) _ f(n)-f(n-1) * r n greater or equal to 2

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3
Q

What is vertical stretch?

A

a > 1

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4
Q

What is vertical compression ?

A

a < 1

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5
Q

What is the exponential function?

A

f(x) = ab^x

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6
Q

What letter is the initial value/x=0/ y-intercept in an exponential function?

A

a

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7
Q

What letter is the common ratio for an geometric sequence ?

A

b

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8
Q

What letter is the exponent in an exponential function?

A

^x

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9
Q

Does this formula show exponential growth or decay?

y= a ( 1+r )^t

A

exponential growth

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10
Q

Does this formula show exponential growth or decay?

y= a (1-r ) ^t

A

exponential decay

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11
Q

What word means going down in value?

A

depreciating

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12
Q

What word means going up in value?

A

appreciating

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