Mark the correct alternative in the following: In the arithmetic progression whose common difference is non-zero, the sum of first 3 n terms is equal to the sum of next n terms. Then the ratio of the sum of the first 2 n terms to the next 2 n terms is

Question

Philoid · Accepted Answer

Here, sum of first 3n terms=sum of next n terms

i.e. S_3n=S_4n-S_3n

i.e. 2S_3n=S_4n

----------(1)

Sum of 2n terms is S_2n_and sum of next 2n terms is given by S_4n-S_2n

Now,

(∵ using (1))

So, ratio of the sum of first 2n terms to the next 2n terms is 1:5

Mark the correct alternative in the following:In the arithmetic progression whose common difference is non-zero, the sum of first 3 n terms is equal to the sum of next n terms. Then the ratio of the sum of the first 2 n terms to the next 2 n terms is

Mark the correct alternative in the following:
In the arithmetic progression whose common difference is non-zero, the sum of first 3 n terms is equal to the sum of next n terms. Then the ratio of the sum of the first 2 n terms to the next 2 n terms is