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Question

Sum of first 25 terms of an AP is 525. Sum of the next 25 terms is 725. What is the common difference?

A
825
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B
425
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C
625
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D
15
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Solution

The correct option is B 825
The sum of the first 25 terms, S25=525
The sum of the next 25 terms, K25= sum of next 25 terms =725
K25=a26+a27+.........a50
K25=a1+25d+a2+25d+..........a25+25d
K25=a1+a2.......a25+625d
So, K25=S25+25×25d
i.e 725=525+25×25d
200=25×25d
d=825

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