Geometric

Geometric sequence formula

Geometric sequence formula
  1. What is the geometric sequence formula?
  2. How do you solve a geometric sequence?
  3. How do you find the nth term in a geometric sequence?

What is the geometric sequence formula?

Important Notes on Geometric Progression

In a geometric progression, each successive term is obtained by multiplying the common ratio to its preceding term. The sum of infinite GP formula is given as: Sn=a1−r S n = a 1 − r where |r|<1.

How do you solve a geometric sequence?

To find the sum of a finite geometric series, use the formula, Sn=a1(1−rn)1−r,r≠1 , where n is the number of terms, a1 is the first term and r is the common ratio .

How do you find the nth term in a geometric sequence?

What is the formula for finding the nth term? The nth term of a geometric sequence with first term a and the common ratio r is given by an=arn−1 a n = a r n − 1 .

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