The sum of the infinite G.P is 15, Sum of squares of 3 terms of the g.p is 45. Find the series.
The probable query should be:
The sum of the infinite G.P is 15 and Sum of squares of these terms is 45. Find the series.
Let a be the first term and r be the common ratio of the infinite geometric series.
Sum of infinite g.p. = 15
Also, sum of squares = 45
On dividing the square of (1) by (2), we get
On putting value of r in (1), we get a = 5
Hence, the required series is: