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Question

If a1,a2,a3,..,an,.. are in A.P. Such that a4a7+a10=m, then the sum of first 13 terms of this A.P., is :

A
15 m
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B
10 m
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C
12 m
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D
13 m
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Solution

The correct option is B 13 m
a4a7+a10=m

(a+3d)(a+6d)+a+9d=m

a+3da6d+a+9d=m

6d+a=m(1)

S13=132(2a+(131)d)

=132(2a+12d)

=13(a+6d)

=13m

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