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Question

An AP consists of 15 terms. The sum of three middle most terms is 69 and the sum of last three terms is 123. Find the A.P.

A
2,5,8,11.....44
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B
2,4,8,....62
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C
2,3,4....16
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D
none
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Solution

The correct option is A 2,5,8,11.....44
The three middle most terms of 15 terms is 69.
a7+a8+a9=69
a13+a14+a15=123
a+6d+a+7d+a+8d=693a+21d=69....(1)
a+12d+a+13d+a+14d=1233a+39d=123...(2)
Solving (1) and (2), we get
18d=54d=3 and a=2
Thus, 2,5,8,11,44.

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