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anonymous

  • one year ago

A sequence is defined by the recursive formula f (n + 1) = f(n) – 2. If f(1) = 18, what is f(5)?

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  1. anonymous
    • one year ago
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    Start off by plugging in 1 into recursion. What would that give you?

  2. anonymous
    • one year ago
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    i would say 80

  3. anonymous
    • one year ago
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    Well, if you plug in n = 1, youd have this: \(f(1+1) = f(1) - 2\) That's what I meant to do

  4. anonymous
    • one year ago
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    So just to finish off the idea: \(f(1+1) = f(1) - 2\) \(f(2) = f(1) - 2\) But f(1) is 18 as the problem told us, so \(f(2) = 18 -2\) \(f(2) = 16\) That make sense what I did?

  5. anonymous
    • one year ago
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    omg thank you

  6. anonymous
    • one year ago
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    i hate math tbh

  7. anonymous
    • one year ago
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    Most people do, lol. But yeah, the next thing youd do is plug in 2: \(f(2+1) = f(2) - 2\) \(f(3) = f(2) - 2\) \(f(3) = 16-2\) \(f(3) = 14\) So the idea is Im going to keep doing this until I get to f(5). Or you might be able to see the pattern and predict what f(5) would be from here. Either way, think you got it from here?

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