Answer:
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
