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In an A.P if the mth term is n and the nth term is m,where m is not equal to n,Find the pth term. |
We have a m = a + (m – 1) d = n, ............. (i) and an = a + (n – 1) d = m ................(ii) Solving (1) and (2), we get (m – n) d = n – m, or d = – 1, ...............(iii) and a=n+m–1 ...........(iv) Therefore a p = a + (p – 1)d = n + m – 1 + ( p – 1) (–1) = n + m – p Hence, the pth term is n + m – p. |