An infinite G.P has a positive common ratio and third term =8. The smallest possible value of its sum is

Consider an infinite G.P with first term a and common ratio r,(-1ltrlt1) If the sum of the given infinite G.P is 15 and the sum of squares of its terms is 45, find a and r

The sum of an infinite GP whose common ratio is numerically less than 1 is 32 and the sum of the first two terms is 24. What will be the third term ?

The sum of an infinite geometric series with positive terms is 3 and the sums of the cubes of its terms is (27)/(19) . Then the common ratio of this series is

The sum of an infinite geometric series with positive terms is 3 and the sums of the cubes of its terms is (27)/(19) . Then the common ratio of this series is

The sum of an infinite geometric series with positive terms is 3 and the sums of the cubes of its terms is (27)/(19) . Then the common ratio of this series is

The sum of an infinite geometric series with positive terms is 3 and the sums of the cubes of its terms is (27)/(19) . Then the common ratio of this series is

Show that in an infinite G.P. with common ratio r(|r|<1) , each term bears a constant ratio to the sum of all terms that follow it.

The ratio of the 4 th to the 12 th terms of a G.P with positive common ratio is If the sum 256 of the two terms is 6168, find the sum of the series to 8 terms.

Sum of an infinite G.P. is 5/4 times the sum of all the odd terms. The common ratio of the G.P. is