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Asked By:  varghese mathew

1-the sum of first 6 term of an A.P. is 42.The ratio of its 10th term to its 30th term is 1:3.find the first term of the A.P.

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Answer By: Excellant

Sum off 6 terms = 6/2(2a + 5d) = 42 Or, 6a + 15d = 42 (a + 9d)/(a + 29d) = 1/3 Or, 3a + 27d = a + 29d Or, 2a = 2d Or, a = d Using this, 6a + 15a = 42 Or, 21a = 42 Or, a = 2

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