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anonymous

  • one year ago

I really don't know how to solve this problem. Can someone please guide me through it? http://i.imgur.com/v1gzD57.png

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  1. jim_thompson5910
    • one year ago
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    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

  2. anonymous
    • one year ago
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    We are removing 3

  3. jim_thompson5910
    • one year ago
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    ie subtracting 3 each time

  4. jim_thompson5910
    • one year ago
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    7 - 3 = 4 4 - 3 = 1 1 - 3 = -2

  5. anonymous
    • one year ago
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    then -5, then -8 right?

  6. jim_thompson5910
    • one year ago
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    in general, to get the next term f(n+1) you subtract 3 from the nth term f(n+1) = f(n) - 3

  7. jim_thompson5910
    • one year ago
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    yeah and it goes on forever

  8. anonymous
    • one year ago
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    So it would be option C: f(1) = 7, f(n + 1) = f(n) - 4; for n ≥ 1

  9. jim_thompson5910
    • one year ago
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    |dw:1436759995533:dw|

  10. jim_thompson5910
    • one year ago
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    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

  11. jim_thompson5910
    • one year ago
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    you'll do that for n = 2, n = 3, etc

  12. anonymous
    • one year ago
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    I still think it's option C

  13. jim_thompson5910
    • one year ago
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    no we aren't subtracting 4 each time

  14. anonymous
    • one year ago
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    I don't get this at all then

  15. jim_thompson5910
    • one year ago
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    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

  16. anonymous
    • one year ago
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    Its A

  17. jim_thompson5910
    • one year ago
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    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

  18. jim_thompson5910
    • one year ago
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    that gives the term right after the nth term, the f(n+1) term which is why f(n+1) = f(n) - 3

  19. jim_thompson5910
    • one year ago
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    look at f(n+1) = f(n) - 3 what happens when you replace every n with say n = 3

  20. anonymous
    • one year ago
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    f(4)=f(3)-3?

  21. anonymous
    • one year ago
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    All I did was substitute 'n' with 3

  22. jim_thompson5910
    • one year ago
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    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)

  23. anonymous
    • one year ago
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    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.

  24. jim_thompson5910
    • one year ago
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    do you see how f(n) is the nth term?

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