Question

What is the common ratio of the sequence?-71, -85.2, -102.24, -122.688

Answer 1

EXPLANATION

Given the sequence: -71, -85.2, -102.24, -122.688​

The common ratio is given by the expression:

a_n = a_0* r^(n-1)

Check wheter the ratio is constant:

-71, -85.2, -102.24, -122.688​

Compute the ratios of all the adjacent terms:

`r=(a_(n+1))/(a_n)`
`(-85.2)/(-71)=1.2,(-102.24)/(-85.2)=1.2`

The ratio of all the adjacent terms is the same and equl to

r=1.2

The first element of the sequence is:

a_1 = -71