Question

What is the sequence for g(1)=-29 g(n)=g(n-1)x(-4)

Answer 1

g(n) = -29×(-4)ⁿ⁻¹

Explanation:

This the recursive formula of a sequence g :

g(1)=-29

g(n)=g(n-1)x(-4)

now ,we want to deduce the standard explicit formula of that sequence

It’s clear from the recursive formula (above) that :

_The common ratio = -4

_the first term = -29

Then

the standard explicit formula is : g(n) = -29×(-4)ⁿ⁻¹