Use a graphing utility to find the sum of the geometric sequence. Round answer to two decimal places, if necessary.
-$$\sum _ { \mathrm { k } = 1 } ^ { 5 } 4 ( 3 ) ^ { \mathrm { k } }$$
A) 93
B) 480
C) 2,460
D) 1,452

Question

Quizplus · Accepted Answer

The sum of the geometric sequence can be calculated using the formula for the sum of a geometric series: $ S_n = a \frac{r^n - 1}{r - 1} $. Here, $ a = 4 \times 3 = 12 $, $ r = 3 $, and $ n = 5 $. Plugging in these values gives $ S_5 = 12 \frac{3^5 - 1}{3 - 1} = 12 \times \frac{243 - 1}{2} = 12 \times 121 = 1,452 $.

Use a Graphing Utility to Find the Sum of the Geometric