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:-
Sn = `a*(r^n-1)/(r-1)`
where:
- sn 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
S10 = `a*(r^n-1)/(r-1)`
S10 = `4*(5^10-1)/(5-1)`
S10 = 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. Sn = a[(rn-1)/(r-1)] if r > 1 and r ≠ 1 or Sn = a[(1 – rn)/(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[(rn-1)/(r-1)] and substitute given values i.e. S6 = 4[(510-1)/(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 Sn = a[(rn-1)/(r-1)] if r > 1 and r ≠ 1 or Sn = a[(1 – rn)/(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.