Question

Given the recursive function f(1) = 64 and the recursive rule f(n) = (1/2) * f(n - 1) for n ≥ 2, please list the first four terms of this sequence, starting with f(1).

Answer 1

The first four terms of the sequence are 64, 32, 16, and 8.

Step-by-step explanation:

To find the first four terms of the sequence, we can use the recursive rule given. Starting with f(1) = 64, we can calculate the next terms using the formula f(n) = (1/2) * f(n-1).

1. f(1) = 64
2. f(2) = (1/2) * f(1) = (1/2) * 64 = 32
3. f(3) = (1/2) * f(2) = (1/2) * 32 = 16
4. f(4) = (1/2) * f(3) = (1/2) * 16 = 8

Therefore, the first four terms of the sequence are 64, 32, 16, and 8.