Question

Number 7 please help mequestions: find the sum of each infinite geometric serie

Answer 1

The sum to infnity of the series is;

`S\infty\text{ = 1,066}(2)/(3)`

Here, we want to find the sum to infinity of the given geometric series

We have this as follows;

`S_(\infty)\text{ =}(a)/(1-r)`

a is the first term which is 800

The common ratio is r and it is the second term divided over the first or the third over the second

We have this as;

`(200)/(800)\text{ = }(50)/(200)\text{ = }(1)/(4)\text{ =0.25}`

Substituting these values, we have it that;

`S_(\infty)\text{ = }(800)/(1-0.25)\text{ = }(800)/(0.75)\text{ = 1,066 }(2)/(3)`