*MBA aspirants, who are appearing in forthcoming CMAT will be held on 28 ^{th} January 2019*

**Progressions: Finding Common Difference of an AP**

*Question*

Sum of first 25 terms of an AP is 525; sum of the next 25 terms is 725; what is the common difference?

1.8/25

2.4/25

3.6/25

4.1/5

*Answer*

Correct Choice is (1) and Correct Answer is 8/25

*Explanatory Answer*

The sum of the first 25 terms, S25 = 525

The sum of the next 25 terms, K25 = sum of next 25 terms = 725

a26 = a1 + 25d

a27 = a2 + 25d

K25 = a26 + a27 + ...... + a50

Or K25 = a1 + 25d + a2 + 25d + ...... + a25+ 25d

Or K25 = a1 + a2 + ...... + a25+ 25(25d)

Or K25 = S25 + 25(25d)

i.e., 725 = 525 + 25 x 25d

200 = 25 x 25d

8 = 25d

d = 8/25

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