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36. If five times the ffth term of an AP is equalto eight times its eighth term, show that[CBSE 2012]its 13th term is zero.

Answer»

Explanation : 5*5th term = 8*8th term 5(a + 4d) = 8(a + 7d) 5a + 20d = 8a + 56d 3a = -36d a = -12d a + 12d = 0 13th term = a + 12d = 0 13th term is 0.

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