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

g(n) = -29×(-4)ⁿ⁻¹

Step-by-step 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

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.