Question

Write a recursive formula for the sequence 9, 6, 3, 0, … Then find the next term.

Answer 1

• f[1] = 9; f[n] = f[n-1] -3
• -3

Explanation:

The first term is 9, so f[1] = 9.

Each term is 3 less than the one before, so f[n] = f[n-1] -3.

Three less than the last term shown is ...

0 -3 = -3

__

The recursive formula is ...

• f[1] = 9
• f[n] = f[n-1] -3

The next term is -3.