f(1)=3 f(n)=f(n–1)+5.5 f(3)=?

Answer 1

Given that f(1) = 3.

.................f(2) = f(2-1) + 5.5 Given that f(n) = f(n-1) + 5.5

.................f(2) = f(1) + 5.5

.................f(2) = 3 + 5.5 Given that f(1) = 3.

.................f(2) = 8.5

Now, solve for f(3):

.................f(3) = f(3-1) + 5.5 Given that f(n) = f(n-1) + 5.5

.................f(3) = f(2) + 5.5

.................f(3) = 8.5 + 5.5 Since f(2) = 8.5 from above.

.................f(3) = 14

THEREFORE, f(3) = 14

Hope this was helpful Shy.