Question

Find the sum to infinity of a sequence 1,1/2,1/2^2...

Answer 1

Answer:

Step-by-step explanation:

This sequence is a gp aka geometric progression.

The common ratio (r)=0.5

a(first term)=1

So, sum till infinity(S∞)=a÷(1-r)

So, substituting the values,,

S∞=1÷(1-0.5)=1÷(0.5). = 2

So the answer is 2.