minnichelaine5 minnichelaine5
  • 25-07-2022
  • Mathematics
contestada

Find the sum of the arithmetic series given a1=45, an=85, and n=. 5

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 26-07-2022

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

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