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If the p^(t h) term of an A.P. is q and ...

If the `p^(t h)` term of an A.P. is `q` and the `q^(t h)` term is `p ,` prove that its `n^(t h)t e r mi s(p+q-n)dot`

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pth term` = q`
`a+(p−1)d=q`
qth term `= p`
`a+(q−1)d=p`
Solving these equations, we get,
`d=−1`
`a=(p+q−1)`
Thus, ...
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