Chapter 12.3, Problem 48AYU

To determine

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

Answer to Problem 48AYU

The sum of the geometric sequence using graphing utility is $28,697,812$ .

Explanation of Solution

Given information:

The geometric sequence is

  ${{\displaystyle \sum _{n=1}^{15}\left(4\cdot 3\right)}}^{n-1}$

Calculation:

Consider the geometric sequence as

  ${{\displaystyle \sum _{n=1}^{15}\left(4\cdot 3\right)}}^{n-1}$

The first term of the sequence is

  $a_1=4$

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

  

Therefore, the sum of the geometric sequence using graphing utility is $28,697,812$ .