Question

Find the suma1 = -26/5 , d = -5/3 , n = 10

Answer 1

The sum of the arithmentic series is -127

Step - by - Step Explanation

What to find? The sum of the arithmetic series.

Parameter Given:

a₁ = -26/5 , d=-5/3 , n=10

To find the sum of the arithmetic series we will use the formula below:

`S=(n)/(2)\mleft\lbrace2a+(n-1)d\mright\rbrace`

Substitute the values and evaluate.

`S=(10)/(2)\mleft\lbrace2((-26)/(5)_{})+(10-1)(-(5)/(3))\mright\rbrace`
`=5\mleft\lbrace2((-26)/(5))+9(-(5)/(3))\mright\rbrace`
`=5\mleft\lbrace-(52)/(5)-15\mright\rbrace`
`=-52-75`

=-127