If the sum of the first n terms of an AP is given by (n2 + 5n + 7),determine its 15th term.
Question
Solution 1
To find the 15th term of an AP, we first need to find the common difference. The sum of the first n terms of an AP is given by S_n = n^2 + 5n + 7.
The nth term of an AP is given by a_n = S_n - S_(n-1).
So, let's find the first two terms:
a_1 = S_1 - S_0 = (1^2 + 5*1 + 7) - 0 = 13
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