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Question

The 2nd and 50th term of an A.P is 49 and 89 respectively. Find the sum of first 51 terms of the given A.P.


A

3158

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B

3519

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C

3258

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D

3458

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Solution

The correct option is B

3519


Let the first term and the common difference of the given A.P. be a and d respectively.

a+d = 49

a+49d =89

Sum of first 51 terms(51/2)(2a+50d)=3519


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