(b) if a series follows geometric progression, show that the ratio of the sum of term to the sum from (n+1) term to (2n) term is 4 marks]

Proof with explanation:

We know that the sum of first 'n' terms of a Geometric progression is given by

where

a = first term of G.P

r is the common ratio

'n' is the number of terms

 Thus the sum of 'n' terms is

Now the sum of first '2n' terms is

Now the sum of terms from to term is

Thus the ratio becomes

your answer is a

step-by-step explanation:

4*4*4*4=256