What is f(5) if f(1)=3.2 and f(x+1)=5/2 ?

Solution is given below

Step-by-step explanation:

f(x+1) = 2.5f(x) is an example of a recursion formula

 Use what we know about f(1) to find f(2).  Then use f(2) to find f(3), etc.

 f(1) = 3.2

 f(2) = f(1+1) = 2.5f(1) = 2.5(3.2) = 8

 f(3) = f(2+1) = 2.5f(2) = 2.5(8) = 20

 f(4) = f(3+1) = 2.5f(3) = 2.5(20) = 50

 f(5) = f(4+1) = 2.5f(4) = 2.5(50) = 125

and for  f(x+1)=5/2

f(x + 1) = (5/2)(f(x))

 f(1 + 1) = (5/2)(3.2)

 f(2) = 8

answer: the answer is 35%

21/58.

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