Question

Find the sum of the geometric series given a1 = 5, r = 3, n = 12.

Answer 1

The sum of the geometric series is 1328600

How to determine the sum?

The given parameters are:

a1 = 5

r = 3

n = 12

The sum of the terms is:

$S_n = \frac{a(1 - r^n)}{1 - r}$

This gives

$S_n = \frac{5 * (1 - 3^{12})}{1 - 3}$

Evaluate the difference

$S_n = \frac{5 * (1 - 531441)}{-2}$

This gives

$S_n = \frac{5 * - 531440}{-2}$

Evaluate

$S_n = 1328600$

Hence, the sum of the geometric series is 1328600

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