Q.

If a1, a2, a3,...., an,... are in A.P. such that a4-a7+a10=m, then sum of the first 13 terms of the A.P. is

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a

10 m

b

12 m

c

13 m

d

15 m

answer is C.

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Detailed Solution

Let d be the common difference of the A.P.,then       m=a4−a7+a10=a4+a10−a7   =a1+3d+3d=a1+6dNow,    S13=1322a1+(13−1)d=13m.
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If a1, a2, a3,...., an,... are in A.P. such that a4-a7+a10=m, then sum of the first 13 terms of the A.P. is