Topmusicanswers
The sum of the GP formula is S=arn−1r−1 S = a r n − 1 r − 1 where a is the first term and r is the common ratio. The sum of a GP depends on its number of terms.
What is sum of n terms of GP?
The formula to calculate the sum of the first n terms of a GP is given by: Sn = a[(rn-1)/(r-1)] if r ≠ 1and r > 1. Sn = a[(1 – rn)/(1 – r)] if r ≠ 1 and r < 1. The nth term from the end of the GP with the last term l and common ratio r = l/ [r(n – 1)].
What is the sum of a geometric sequence?
The sum of a geometric series is finite as long as the terms approach zero; as the numbers near zero, they become insignificantly small, allowing a sum to be calculated despite the series being infinite. For an infinite geometric series that converges, its sum can be calculated with the formula s=a1−r s = a 1 − r .
