Without using a calculator, find the sum of the series.
Pretend in place of E is Greek Letter Sigma.
27
E(4 + 1/2n) = ?
N=0
You just want the sum of an arithmetic series where
a = 4
d = 1/2
S28 = 28/2(2*4 + 27(1/2)) = 301
Thank you!!
To find the sum of the series, we need to evaluate the expression 4 + 1/2n for each value of n starting from 0, and then sum up all the results.
Let's start with n = 0:
4 + 1/2(0) = 4 + 0 = 4
Moving on to n = 1:
4 + 1/2(1) = 4 + 1/2 = 4.5
Next, n = 2:
4 + 1/2(2) = 4 + 1 = 5
And finally, n = 3:
4 + 1/2(3) = 4 + 1.5 = 5.5
Now, we need to add up all these results:
4 + 4.5 + 5 + 5.5 = 19
So, the sum of the series is 19.