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35. In a certain AP 32th term is twice the 12term. Prove that 70th term is twice the 31stterm[CBSE 2015, 12]

Answer»

Explanation : 32nd term of an AP is = a + 31d 12th term of an AP is = a + 11d so a + 31d = 2(a + 11d) a + 31d = 2a + 22d a = 9d 70th term = a + 69d = 9d + 69d = 78d = 2*39d 31st term = a + 30d = 9d + 30d = 39d 70th term = 2*31st term

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