Answered

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If f(1) = 2 and f(n) = f(n - 1)^2 – 5 then find the value of f (4).

If F1 2 And Fn Fn 12 5 Then Find The Value Of F 4 class=

Sagot :

We are asked to calculate f(4) by means of the following function:

f(n) = f(n - 1)² - 5

As you can see, in order to calculate f(n) first we have to specify the value of f(n - 1), we are given the value of f(1), so we can calculate the value of f(2), then f(3) and finally f(4), like this:

f(2) = f(2-1)² - 5 = f(1)² - 5 = 2² - 5 = 4 - 5 = -1

Then, f(2) = -1, now we can calculate f(3) like this:

f(3) = f(3 - 1)² - 5 = f(2)² - 5 = (-1)² - 5 = -4

Then f(3) = -4, now we can calculate f(4) like this:

f(4) = f(4 - 1)² - 5 = f(3)² - 5 = (-4)² - 5 = 16 - 5 = 11

Then, f(4) equals 11

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