What is the sum of the finite arithmetic series?
4 + 8 + 12 + 16 + … + 76
(1 point)
Responses
760
760
780
780
800
800
860
The formula to find the sum of a finite arithmetic series is:
Sn = n/2 * (a1 + an)
Where:
Sn = sum of the series
n = number of terms
a1 = first term
an = last term
In this case:
a1 = 4
an = 76
n = (an - a1) / d + 1 , where d is the common difference (which is 4 in this case)
n = (76 - 4) / 4 + 1
n = 18
Using the formula:
Sn = 18/2 * (4 + 76)
Sn = 9 * 80
Sn = 720
So, the sum of the finite arithmetic series is 720.