find the sum if it exists 1509054Solutionsolution we have th

find the sum, if it exists 150,90,54...

Solution

solution:

we have the first term (a)= 150

now finding common ratio(r), we have

r= 90/150 0r 54/90 which gives 3/5 aqnd 17/45

so, we can see that there is no common ration.

using the formula s= a/(1-r) where, a=first therm, r= common ratio and S is the sum to infinity

as, there is no common ration so there will be no sum. therefore the series does not exist.