# How do you find the sum of n terms of a GP?

### How do you find the sum of n terms of a GP?

**Sum of Infinite GP Calculator**

- 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. ...
- For r=1 , the sum of GP =na .
- Sum of infinite GP is S∞=a1−r.

### How do you find the common difference in GP?

**How To: Given a set of numbers, determine if they represent a geometric sequence.**

- Divide each term by the previous term.
- Compare the quotients. If they are the same, a common ratio exists and the sequence is geometric.

### How do you find the common difference between first and last terms?

The common difference is the value between each number in an arithmetic sequence. Therefore, you can say that the formula to find the common difference of an arithmetic sequence is: **d = a(n) - a(n - 1)**, where a(n) is the last term in the sequence, and a(n - 1) is the previous term in the sequence.

### What is the sum of n terms in a geometric progression?

For r = 1, the sum of n terms of the Geometric Progression is **Sn = na**. (ii)When the numerical value of r is less than 1 (i.e., - 1 < r < 1), then the formula Sn = a(1−rn)(1−r) is used.

### What is the sum of first n terms of GP?

Geometric Progression The general form of a GP is a, ar, ar2, ar3 and so on. The nth term of a GP series is Tn = arn-1, where a = first term and r = common ratio = Tn/Tn-1) . The sum of infinite terms of a GP series **S∞= a/(1-r) where 0< r**