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Question

There are only sixteen A.P.'s having 3, 8, 14 as three of its terms. Is this statement true?IF true write 1 otherwise write 0 ?

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Solution

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Choose $a = 3, T_{p} = 8, T_{q} = 14 \Rightarrow 11 p - 5 q = 6$ Only one equation in two variables. It will have infinite number of solutions.

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