anonymous
  • anonymous
I really don't know how to solve this problem. Can someone please guide me through it? http://i.imgur.com/v1gzD57.png
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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jim_thompson5910
  • jim_thompson5910
What are we doing to the first term to get the second term? if you aren't sure, solve the following for d 7 + d = 4
anonymous
  • anonymous
We are removing 3
jim_thompson5910
  • jim_thompson5910
ie subtracting 3 each time

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jim_thompson5910
  • jim_thompson5910
7 - 3 = 4 4 - 3 = 1 1 - 3 = -2
anonymous
  • anonymous
then -5, then -8 right?
jim_thompson5910
  • jim_thompson5910
in general, to get the next term f(n+1) you subtract 3 from the nth term f(n+1) = f(n) - 3
jim_thompson5910
  • jim_thompson5910
yeah and it goes on forever
anonymous
  • anonymous
So it would be option C: f(1) = 7, f(n + 1) = f(n) - 4; for n ≥ 1
jim_thompson5910
  • jim_thompson5910
|dw:1436759995533:dw|
jim_thompson5910
  • jim_thompson5910
f(1) = 7 is given to us to find f(2) we subtract off 3 or we use the formula f(n+1) = f(n) - 3 f(n+1) = f(n) - 3 f(1+1) = f(1) - 3 ... replace each n with 1 f(2) = 7 - 3 f(2) = 4
jim_thompson5910
  • jim_thompson5910
you'll do that for n = 2, n = 3, etc
anonymous
  • anonymous
I still think it's option C
jim_thompson5910
  • jim_thompson5910
no we aren't subtracting 4 each time
anonymous
  • anonymous
I don't get this at all then
jim_thompson5910
  • jim_thompson5910
f(1) is the first term f(2) is the second term f(3) is the third term etc etc in general, the nth term is f(n). We replace n with whole numbers like n = 5 or n = 6
anonymous
  • anonymous
Its A
jim_thompson5910
  • jim_thompson5910
jumping from 7 to 4, then to 1, etc means we subtract 3 each time in general we have the nth term f(n) subtract off 3 f(n) - 3
jim_thompson5910
  • jim_thompson5910
that gives the term right after the nth term, the f(n+1) term which is why f(n+1) = f(n) - 3
jim_thompson5910
  • jim_thompson5910
look at f(n+1) = f(n) - 3 what happens when you replace every n with say n = 3
anonymous
  • anonymous
f(4)=f(3)-3?
anonymous
  • anonymous
All I did was substitute 'n' with 3
jim_thompson5910
  • jim_thompson5910
saying "f(3) - 3" means "take the third term and subtract off 3" the third term is 1 so f(3) - 3 = 1 - 3 = -2 which gives us the fourth term f(4)
anonymous
  • anonymous
Ehh I give up on this. I'll just guess the answer because I'm still as confused as I was in the beginning. I'm sorry for completely wasting your time :/ Thank you very much though.
jim_thompson5910
  • jim_thompson5910
do you see how f(n) is the nth term?

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