The sum of the arithmetic series is 325
How to determine the sum?
The given parameters are
a1 = 45
an = 85
n = 5
The formula for the sum of arithmetic series is:
[tex]S_n = \frac n2 * (a_1 + a_n)[/tex]
Substitute the values of a1, an and n in the above equation
[tex]S_5 = \frac 52 * (45 + 85)[/tex]
Add 45 and 85
[tex]S_5 = \frac 52 * 130[/tex]
Divide 130 by 2
[tex]S_5 = 5 * 65[/tex]
Multiply
[tex]S_5 = 325[/tex]
Hence, the sum of the arithmetic series is 325
Read more about arithmetic series at:
https://brainly.com/question/16415816
#SPJ1
