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If 10 times the 10th term of an A.P. is equal to 15 times the 15th term, show that 25th term of the A.P. is zero. |
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Answer» 10a10 = 15a15 10[a + (10 – 1)d] = 15[a + (15 – 1)d] 2a + 2(9)d = 3a + 3(14)d - a = 42d – 18d - a = 24d a = - 24d a25 = a + 24d = - 24d + 24d = 0 |
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