Question

1/4 + 1/16 + 1/64 + 1/256......up to infinity = ??
Plzz can anyone tell me the answer of this with solutions!!??

Answer 1

Answer:

1/4+1/16+1/64+1/256.........upto infinity

=1/3

Step-by-step explanation:

1/4+1/16+1/64+1/256.........upto infinity

it forms a GP with common ratio r=1/4

and first term a 1/4

so applying formula of sum of an infinite GP

Sum=a/(1-r)

=(1/4)/(1-1/4)

=(1/4)/(3/4)

=1/3