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Question

If the seventh term of an AP is 13 and its ninth term is 17, find its 3rd term.

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Solution

Let the first term of AP be a
7th term is considered as a+6d=13(1)
9th term is Considered as a+8d=17(2)
(2)(1)2d=4d=2
Put it in (1)
a+6(2)=13a=1
3rd term is a+2d=1+2(2)=5

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