What is the sum of the first five terms of a geometric series with a = 10 andr

= 1/5?

12.496

Step-by-step explanation:

Here, to calculate the sum of the first five terms of the series, we use the formula for the sum of terms in a geometric series.

Mathematically, that would be;

Sn = a (1-r^n) / 1-r

where Sn = ?

a = 10

r = 1/5 = 0.2

n = 5

Substituting these values into the equation above, we have;

Sn = 10 (1 - (0.2) ^5) / 1-0.2

Sn = 10 (0.99968) / 0.8

Sn = 12.496