lena is asked to write an explicit formula for the graphed geometric sequence. what value, written as a…

lena is asked to write an explicit formula for the graphed geometric sequence. what value, written as a decimal, should lena use as the common ratio? 1.0 1.5 2.5 2.0

lena is asked to write an explicit formula for the graphed geometric sequence. what value, written as a decimal, should lena use as the common ratio? 1.0 1.5 2.5 2.0

Answer

Explanation:

Step1: Recall common - ratio formula

The common ratio $r$ of a geometric sequence is given by $r=\frac{a_{n + 1}}{a_{n}}$. We can use two consecutive terms of the sequence. Let $a_1 = 1$ (when $n = 1$) and $a_2=2.5$ (when $n = 2$).

Step2: Calculate the common ratio

$r=\frac{a_{2}}{a_{1}}=\frac{2.5}{1}=2.5$

Answer:

2.5