Answer:
Option A is correct, i.e. Sum = 1.
Step-by-step explanation:
Given is the infinite geometric series, [tex]\sum\limits^\infty_{i=1} {(0.5)^i}[/tex]
First term is, a = (0.5)¹ = 0.5
and the common ratio is, r = (0.5)²/(0.5)¹ = 0.5
We can find the sum of infinite geometric series using the formula as follows:-
Sum = a/(1-r)
Sum = 0.5/(1 - 0.5)
Sum = 0.5/0.5
Sum = 1
Hence, option A is correct, i.e. Sum = 1.
