Question

Formulate the recurslve formula for the following geometric sequence.

/(/left\{-16,/4,/-1,... \right\}\)​

Answer 1

• a₁ = -16
• aₙ ₊ 1 = -1/4aₙ

Explanation:

Given GP

• -16, 4, -1, ...

To find

• The recursive formula for the sequence

Solution

First term is:

• -16

Common ratio is:

• -1/4

Recursive formula:

• a₁ = -16
• aₙ ₊ 1 = -1/4aₙ