Chapter 12.3, Problem 50AYU

To determine

To find: The sum of the geometric sequence using graphing utility.

Answer to Problem 50AYU

The sum of the geometric sequence using graphing utility is $4.998589445$ .

Explanation of Solution

Given information:

The geometric sequence is

  $2+\frac{6}{5}+\frac{18}{25}+\mathrm{...}+2{\left(\frac{3}{5}\right)}^{15}$

Calculation:

Consider the geometric sequence as

  $2+\frac{6}{5}+\frac{18}{25}+\mathrm{...}+2{\left(\frac{3}{5}\right)}^{15}$

The first term of the sequence is

  $a_1=2$

The common ratio of the sequence is

  $r=\frac{3}{5}$

Use the scientific calculator (graphing utility) to calculate the sum of the geometric sequence is

  $4.998589445$

Therefore, the sum of the geometric sequence using graphing utility is $4.998589445$ .