Emma M.

asked • 02/15/23

f(1) = 3 and f(n-1)^2+2 then find the value of f(4)

its a alegbra question

Mark M.

Review your post for accuracy. f(n-1) is not defined.
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02/15/23

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Bradley T. answered • 02/15/23

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They gave you an iterative function, f(4) is not too much ahead of f(1), so you can choose to continue the sequence,


  1. f(2) = f(2-1)2+2 = f(1)2+2= 32+2 = 11
  2. f(3) = f(3-1)2+2 = f(2)2+2= 112+2 = 123
  3. f(4) = f(4-1)2+2 = f(3)2+2= 1232+2 = 15131

The trick is that even if you only know f(1), the function uses the one previous value, so going one value into the future f(2), making f(1) the previous value, makes it possible to continue the sequence.

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Mark M.

What in the problem states that f(n) = (n-1)^2 + 2?
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02/15/23

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