Chapter 12.3, Problem 46AYU

To determine

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

Answer to Problem 46AYU

The sum of the geometric sequence using graphing utility is $2,391,484.333$ .

Explanation of Solution

Given information:

The geometric sequence is

  $\frac{3}{9}+\frac{3^2}{9}+\frac{3^3}{9}+\mathrm{....}+\frac{3^{15}}{9}$

Calculation:

Consider the geometric sequence as

  $\frac{3}{9}+\frac{3^2}{9}+\frac{3^3}{9}+\mathrm{....}+\frac{3^{15}}{9}$

The first term of the sequence is

  $\begin{array}{c}{a}_1=a\\ =\frac{3}{9}\end{array}$

The common ratio of the sequence is

  $r=3$

The number of terms is

  $n=15$

Use the scientific calculator (graphing utility) to calculate the sum of the geometric sequence is $2,391,484.333$ .

Therefore, the sum of the geometric sequence using graphing utility is $2,391,484.333$ .