Question

What is the value of r of the geometric series? Sigma-Summation Underscript n = 1 Overscript 3 EndScripts 1. 3 (0. 8) Superscript n minus 1 0. 8 1. 3 3. 0 3. 2.

Answer 1

The value of r of the geometric series is 0.8.

Given that

The formula for the geometric series is expressed as;

$\rm \sum^3_1 1.3(0.8)^{n-1}$

We have to determine

What is the value of r of the geometric series?

According to the question

The formula for the geometric series is expressed as;

$\rm \sum^3_1 1.3(0.8)^{n-1}$

The nth term of a geometric progression is expressed as;

$\rm T_n= ar^{{n-1}$

Where a is the first term and r is the common ratio of the sequence.

In comparison both the terms;

$\rm 0.8^{n-1} = r^{n-1}\\\\r = 0.8$

Hence, the value of r of the geometric series is 0.8.

To know more about the Geometric series click the link given below.

https://brainly.com/question/14504382