Question

Use the recursive formula f(n) = 0.5 ⋅ f(n − 1) + 10 to determine the 2nd term if f(1) = 4.

A. f(2) = 11.5
B. f(2) = 12.0
C. f(2) = 12.5
D. f(2) = 13.0

Answer 1

Option B. f(2) = 12.0

Explanation:

we have

`f(n)=0.5f(n-1)+10`

we know that

The second term is f(2)

For n=2

substitute the value of n in the formula

`f(2)=0.5f(2-1)+10`

`f(2)=0.5f(1)+10`

we have

`f(1)=4`

substitute

`f(2)=0.5(4)+10`

`f(2)=12.0`