Find the Sum of n terms of Geometric Sequence a = 3, 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 = 3, n = 10, and r =5 i.e. 7324218.0 in the blink of an eye.

First term [a]:
common ratio[r]:
Total terms[n]:

Find the Sum of n terms of Geometric Sequence a = 3, n = 10, and r =5

Sum of n terms of Geometric Sequence a = 3, n = 10, and r =5 is 7324218.0

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 = 3

n = 10

r = 5

Put values into formula

S10 = `a*(r^n-1)/(r-1)`

S10 = `3*(5^10-1)/(5-1)`

S10 = 7324218.0

Follow the detailed steps listed below to find the Sum of n terms of Geometric Sequence a = 3, n = 10, and r = 5 to make your calculations faster.

  • The initial step is to find out the First Term of Sequence a = 3, 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 = 3[(510-1)/(5-1)]
  • Simplifying further we have the Sum of n terms of Geometric Sequence S6= 7324218.0.

Example for Finding Sum of n terms of Geometric Sequence

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Sum of n terms of GP when a = 5, r = 4 and n = 10
Sum of n terms of GP when a = 2, r = 3 and n = 11
Sum of n terms of GP when a = 1, r = 4 and n = 7
Sum of n terms of GP when a = 3, r = 2 and n = 7
Sum of n terms of GP when a = 5, r = 5 and n = 8
Sum of n terms of GP when a = 2, r = 2 and n = 7

FAQs on Sum of n terms in G.P for a = 3, 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 = 3, n = 10, and r =5?

Sum of n terms in the Geometric Sequence a = 3, n = 10, and r =5 is 7324218.0.

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