Answer to Question #137180 in Discrete Mathematics for shanto

Question

The recursive definition of a function X is given as:
f(0)=5 and f(n)=f(n-2)+5
Now, find out the value of f(14) using the above function.

Answer 1

$f(0)=5$

$f(2)=f(0)+5=5+5=10$

$f(4)=15$

If n is even then $f(n)=5*(n/2 + 1)$

$f(14)=5*(14/2 + 1)=5 * 8=40$