How do you find the sum of the first thirty odd integers?
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