Q. 114.0( 1 Vote )

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

A. 1/5

B. 2/3

C. 3/4

D. none of these

Answer :

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


i.e. S3n=S4n-S3n


i.e. 2S3n=S4n






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


Sum of 2n terms is S2nand sum of next 2n terms is given by S4n-S2n


Now,





( using (1))




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

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