Question

Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2. 5), (3, 6. 25). What value, written as a decimal, should Lena use as the common ratio? 1. 0 1. 5 2. 5 2. 0.

Answer 1

r = 2.5

Explanation:

Consider the y- coordinates of the plotted points

1 , 2.5 , 6.25

The common ratio r is calculated as

r =
`(a_(2) )/(a_(1) )` =
`(a_(3) )/(a_(2) )` =
`(2.5)/(1)` =
`(6.25)/(2.5)` = 2.5