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- anonymous

A recursive function is shown below:
f(1) = 4 and f(n) = f(n - 1) - 8; n > 1
Which of the following lists the terms in the sequence defined by this recursive function?
4, -4, -12, -20, -28, ...
4, 4, 12, 20, 28, ...
4, 12, 20, 28, 36, ...
4, -12, -20, -28, -36, ...

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- anonymous

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- anonymous

@jim_thompson5910 Can you help me again?

- jim_thompson5910

are you familiar with the notation f(n) = f(n - 1) - 8 ?

- anonymous

no

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- jim_thompson5910

f(n) is the nth term
f(n-1) is the term just before the nth term

- anonymous

I have my notes with me but they are no help

- jim_thompson5910

saying f(n) = f(n - 1) - 8 means
"nth term = (term before nth term) - 8"

- jim_thompson5910

if you are given a term, you can find the next term by subtracting 8

- anonymous

ok

- anonymous

so you would subtract 8 from 4?

- jim_thompson5910

correct

- anonymous

so it would be 4,-12,...

- anonymous

so then you would keep going ?

- jim_thompson5910

first term is 4
second term is 4-8 = -4
third term is -4-8 = -12
etc etc
notice how I'm subtracting 8 from each term

- anonymous

So it would be 4,-12,-20,-28,-36...?

- jim_thompson5910

yes

- anonymous

thank you :D

- jim_thompson5910

yw

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