Find the sum of the following series.
∑n=114(2n+1)
To find the sum of the series, we first need to determine the number of terms in the series.
Since the series is ∑n=1^14(2n+1), we can see that the first term is when n=1, and the last term is when n=14.
The number of terms, N, can be calculated using the formula: N = (last term - first term) + 1
N = (14 - 1) + 1 = 14.
Now, we can calculate the sum of the series using the formula for the sum of an arithmetic series:
Sum = N/2 * (first term + last term)
Sum = 14/2 * (2(1) + 1(14))
Sum = 7 * (2+14)
Sum = 7 * 16
Sum = 112
Therefore, the sum of the series ∑n=14(2n+1) is 112.