Calculate the sum of the infinite series s(infinity)=20-10+

A. S(\infty)=40/3

Step-by-step explanation:

Step-by-step explanation:

we are given series as

S(infinity)=20-10+5-..

Firstly, we will check type of series

first term=20

second term=-10

third term =5

now, we can find common ratios

we can see that both ratios are equal

so, this is geometric series

we can use sum of infinite terms formula

where a is first term

a=20

r=-0.5

now, we can plug values