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

User Scord
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6 votes

Answer:

Solution is given below

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

User SATO Yusuke
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