anonymous
  • 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, ...
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
@jim_thompson5910 Can you help me again?
jim_thompson5910
  • jim_thompson5910
are you familiar with the notation f(n) = f(n - 1) - 8 ?
anonymous
  • anonymous
no

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jim_thompson5910
  • jim_thompson5910
f(n) is the nth term f(n-1) is the term just before the nth term
anonymous
  • anonymous
I have my notes with me but they are no help
jim_thompson5910
  • jim_thompson5910
saying f(n) = f(n - 1) - 8 means "nth term = (term before nth term) - 8"
jim_thompson5910
  • jim_thompson5910
if you are given a term, you can find the next term by subtracting 8
anonymous
  • anonymous
ok
anonymous
  • anonymous
so you would subtract 8 from 4?
jim_thompson5910
  • jim_thompson5910
correct
anonymous
  • anonymous
so it would be 4,-12,...
anonymous
  • anonymous
so then you would keep going ?
jim_thompson5910
  • 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
  • anonymous
So it would be 4,-12,-20,-28,-36...?
jim_thompson5910
  • jim_thompson5910
yes
anonymous
  • anonymous
thank you :D
jim_thompson5910
  • jim_thompson5910
yw

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