Question

53.Find the sum to infinity of the following GP series: 1-1+1-1+............infinity​

Answer 1

Answer:

Now this series has 3solutions.

The first one is (1–1) +(1–1)+(1–1)

so on till infinity.

if there are a even no of one's it becomes zero,

if there are a odd no of one's it becomes 1.

But also you see this is also a infinite GP series with a=1,a common ratio of -1 so the formula is

a/1-r=1/1–(-1)=1/2