Chapter 12.3, Problem 49AYU

To determine

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

Answer to Problem 49AYU

The sum of the geometric sequence using graphing utility is $-32767$ .

Explanation of Solution

Given information:

The geometric sequence is

  $-1-2-4-8-\mathrm{...}-2^{14}$

Calculation:

Consider the geometric sequence as

  $-1-2-4-8-\mathrm{...}-2^{14}$

The first term of the sequence is

  $a_1=-1$

The common ratio of the sequence is

  $r=2$

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 $-32767$ .