Arithmetic Sequence Calculator Geometric Sequence Calculator Harmonic Sequence Calculator Fibonacci Sequence Calculator Number Sequence Calculator Sequence Formula Calculator Sum of Linear Number Sequence Calculator Find the sequence and next term Recursive Sequence Calculator First Five Terms of a Sequence Bound Sequence calculator Missing Terms in Arthimetic Sequence calculator Limit of Sequence Calculator Sum of Sequence Calculator Arithemetic Sequence common difference calculator Geometric Sequence Ratio Calculator Arithmetic Sequence Equation Calculator Geometric Sequence Equation Calculator Monotonic Sequence Calculator Partial Sum Arithmetic Sequence Infinite Series Calculator

Find the Sum of n terms of Geometric Sequence a = 3, n = 11, and r =5

Try our Geometric Sequence Calculator to quickly obtain the Sum of n terms of Geometric Sequence a = 3, n = 11, and r =5 i.e. 36621093.0 in the blink of an eye.

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

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 = 11

r = 5

Put values into formula

S11 = `a*(r^n-1)/(r-1)`

S11 = `3*(5^11-1)/(5-1)`

S11 = 36621093.0

Steps for finding the Sum of n terms of Geometric Sequence a = 3, n = 11, and r =5?

Follow the detailed steps listed below to find the Sum of n terms of Geometric Sequence a = 3, n = 11, 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 = 11
  • 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[(511-1)/(5-1)]
  • Simplifying further we have the Sum of n terms of Geometric Sequence S6= 36621093.0.

Example for Finding Sum of n terms of Geometric Sequence

Sum of n terms of GP when a = 2, r = 3 and n = 8
Sum of n terms of GP when a = 3, r = 2 and n = 8
Sum of n terms of GP when a = 4, r = 2 and n = 8
Sum of n terms of GP when a = 2, r = 4 and n = 9
Sum of n terms of GP when a = 2, r = 3 and n = 11
Sum of n terms of GP when a = 3, r = 4 and n = 6
Sum of n terms of GP when a = 5, r = 5 and n = 10
Sum of n terms of GP when a = 2, r = 2 and n = 6
Sum of n terms of GP when a = 1, r = 4 and n = 8
Sum of n terms of GP when a = 3, r = 4 and n = 7

FAQs on Sum of n terms in G.P for a = 3, n = 11, 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 = 11, and r =5?

Sum of n terms in the Geometric Sequence a = 3, n = 11, and r =5 is 36621093.0.

3. How to find the sum of n terms in Geometric Sequence a = 3, n = 11, 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 = 11, and r =5 quickly.