Question

What is the sum of the finite arithmetic series? (-10)+0+10+20+....+30

Answer 1

I think the finite arithmetic series meant to be:

(-10)+0+10+20+...+130

So to that the answer would be:

900

Answer 2

We have been given a finite arithmetic series:

`(-10)+0+10+20+30`

The given series has 5 terms, which means
`n=5`

The first term of the series is :
`t_1=-10`

and the last term of the series is:
`t_n=30`

The sum of the finite arithmetic series is given by:

`S=n * ((t_1+t_n))/(2) =5 * ((-10+30))/(2) =5 * (20)/(2) =5* 10=50`

So the sum of the given finite arithmetic series is 50.