Find the sum of the following series.
∑n=14(2n+1)
To find the sum of the series ∑n=1^4 (2n+1), we need to add up each term for n=1, 2, 3, and 4.
When n=1: 2(1)+1 = 2+1 = 3
When n=2: 2(2)+1 = 4+1 = 5
When n=3: 2(3)+1 = 6+1 = 7
When n=4: 2(4)+1 = 8+1 = 9
Adding these values together: 3 + 5 + 7 + 9 = 24
Therefore, the sum of the series ∑n=1^4 (2n+1) is 24.