# Find the Sum of n terms of Geometric Sequence a = 4, n = 10, and r =5

**Created By :** Abhinandan Kumar

**Reviewed By :** Phani Ponnapalli

**Last Updated :** Mar 21, 2023

Try our Geometric Sequence Calculator to quickly obtain the Sum of n terms of Geometric Sequence a = 4, n = 10, and r =5 i.e. 9765624.0 in the blink of an eye.

## Sum of n terms of Geometric Sequence a = 4, n = 10, and r =5 is 9765624.0

Steps to find sum of n terms of geometric sequence:

**sum of n terms of geometric sequence formula:-**

S_{n} = `a*(r^n-1)/(r-1)`

**where:**

- s
_{n}is the sum of n terms - a is first term
- n is total number of terms
- r is common ratio

**Input values are:-**

a = 4

n = 10

r = 5

**Put values into formula**

S_{10} = `a*(r^n-1)/(r-1)`

S_{10} = `4*(5^10-1)/(5-1)`

**S _{10} = 9765624.0**

Follow the detailed steps listed below to find the Sum of n terms of Geometric Sequence a = 4, n = 10, and r = 5 to make your calculations faster.

- The initial step is to find out the First Term of Sequence a = 4, Common Ratio r = 5 and n = 10
- Later, substitute the given values in the Sum of n terms in G.P Formula i.e. S
_{n}= a[(r^{n-1})/(r-1)] if r > 1 and r ≠ 1 or S_{n}= a[(1 – r^{n})/(1 – r)] if r < 1 and r ≠ 1 - As in the given case common ratio r is greater than 1 we will use the formula Sn = a[(r
^{n-1})/(r-1)] and substitute given values i.e. S_{6}= 4[(5^{10-1})/(5-1)] - Simplifying further we have the Sum of n terms of Geometric Sequence S6= 9765624.0.

### Example for Finding Sum of n terms of Geometric Sequence

### FAQs on Sum of n terms in G.P for a = 4, n = 10, and r =5

**1. How to find the Sum of n terms in G.P?**

Sum of n terms in G.P can be found by using the formulas S_{n} = a[(r^{n-1})/(r-1)] if r > 1 and r ≠ 1 or S_{n} = a[(1 – r^{n})/(1 – r)] if r < 1 and r ≠ 1.

**2. What is the sum of n terms in Geometric Sequence a = 4, n = 10, and r =5?**

Sum of n terms in the Geometric Sequence a = 4, n = 10, and r =5 is 9765624.0.

**3. How to find the sum of n terms in Geometric Sequence a = 4, n = 10, and r =5 quickly?**

You can take help from our geometric sequence calculator in order to find out the sum of n terms in Geometric Sequence a = 4, n = 10, and r =5 quickly.