Question

A sequence is defined by the recursive function f(n + 1) = one-halff(n). If f(3) = 9 , what is f(1) ?

Answer 1

d.) 81

Explanation:

f(2) would be 27 and 27x3 is 81.

81/3=27

27/3=9

Answer 2

81

Explanation:

For the recursive function, f(n+1) = one-half(n)

Thus, when n = 2,

f(3) = 9

If n = 1,

f(2) = 9×3

f(2) = 27

If n = 0,

f(1) = 27 ×3

f(1) = 81