MATH SOLVE

2 months ago

Q:
# Formulate the recursive formula for the following geometric sequence.{-16, 4, -1, ...}Answer that question with all work shown. Thanks

Accepted Solution

A:

Answer:a_n=-\frac{1}{4 a_{n-1}Step-by-step explanation:The recursive formula for the geometric sequence is given by:a_n = a_{n-1} \cdot rwhere,r is the common ratio terms-16, 4, -1, ...This is a geometric sequence. Here, and Since, ans so on .....Substitute the given values we have;⇒Therefore, the recursive formula for the following geometric sequence is,