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If an A.P. if mth term is n and the nth term is m, where m ≠ n, find the pth term |
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Answer» We have am = a + (m – 1)d = n, …… (1) and an = a + (n – 1)d = m …….. (2) Solving (1) and (2), we get (m, n) d = n – m, or d = -1, and a = n + m – 1 ……. (3) Therefore ap = a + (p – 1)d ……. (4) = n + m – 1 + (p – 1) (-1) = n + m – p Hence, the pth term is n + m – p. |
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