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The arithmetic sequence of odd integers is 1, 3, 5, 7, 9, ... where the common difference is 2. The sum of the first thirty odd integers can be found by using the sum formula such as:
Sn = n/2[2a1 + (n - 1)d], where a1 = 1, n = 30, and d = 2. So,
S30 = (30/2)[(2)(1) + (30 - 1)(2)] = (15)[2 + (29)(2)] = (15)(60) = 900
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Find three consecutive odd integers whose sum is 135?
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