Question

What is the recursive rule for this geometric sequence? 1/2, -2, 8, -32

Answer 1

see explanation

Explanation:

A recursive rule allows us to find the term in a sequence from the previous term.

From the given geometric sequence find r the common ratio

r =
`(-2)/((1)/(2) )` =
`(8)/(-2)` = - 4

Hence recursive rule is

`a_(n+1)` = - 4
`a_(n)` ( a₁ =
`(1)/(2)` )