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1. The sum of how many terms of the series 6 + 12 + 18 + 24 + ... is 1800 ?
(A): 16
(B): 18
(C): 20
(D): 22
(E): 24
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By: guest on 01 Jun 2017 05.46 pm
This is an A.P. in which a = 6, d = 6 and Sn = 1800 Then, n [2a + (n - 1)d] = 1800 2 n [2 x 6 + (n - 1) x 6] = 1800 2 3n (n + 1) = 1800 n(n + 1) = 600 n2 + n - 600 = 0 n2 + 25n - 24n - 600 = 0 n(n + 25) - 24(n + 25) = 0 (n + 25)(n - 24) = 0 n = 24 Number of terms = 24.
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