Math

Turn the recursive function into its equivalent explicit function:

f(1) = 18;
f(n) = f(n - 1) + 6;
n is be greater than or equal to 2*

How would I solve this? Any help is appreciated! Thanks!

*The symbol for that is the > with a line under it, I couldn't paste that in jiskha.

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asked by Amelia
  1. n ≥ 2

    looks like you're starting at 18, and adding 6 to each consecutive term

    An = 6 (n + 2)

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    posted by R_scott
  2. Yes, n ≥ 2, thank you!

    So the answer that was given to me was:
    f(n) 12 + 6n; n ≥ 1

    So do I just plug in the numbers for An = 6(n + 2) to get there? Sorry, I'm having a bit of trouble understanding it... I'm just unsure of how they came up with that answer.

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    posted by Amelia
  3. An becomes f(n) ... distributing the 6 ... 6n + 12

    f(n) = 6 n + 12

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    posted by R_scott
  4. Oh wow! It was so simple I couldn't even see it! I guess I overthought it.... Thank you so much for your help!

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    posted by Amelia

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