Sn is the sum of the first n terms of a series given by Sn = n2n - 1. Find the nth term
Answer Details
The given series is:
1 + 3 + 5 + 7 + ... + (2n - 1)
Notice that each term in the series is an odd number, and the difference between consecutive terms is 2. To find the nth term, we can use the formula for the nth term of an arithmetic sequence:
an = a1 + (n - 1)d
where a1 is the first term, d is the common difference, and n is the term number.
In this case, a1 = 1 and d = 2, so we have:
an = 1 + (n - 1)2
an = 2n - 1
Therefore, the answer is (D) 2n - 1.