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Find the Sum of n terms of Geometric Sequence a = 4, n = 7, and r =4

Try our Geometric Sequence Calculator to quickly obtain the Sum of n terms of Geometric Sequence a = 4, n = 7, and r =4 i.e. 21844.0 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 = 4

n = 7

r = 4

Put values into formula

S7 = `a*(r^n-1)/(r-1)`

S7 = `4*(4^7-1)/(4-1)`

S7 = 21844.0

Steps for finding the Sum of n terms of Geometric Sequence a = 4, n = 7, and r =4?

Follow the detailed steps listed below to find the Sum of n terms of Geometric Sequence a = 4, n = 7, and r = 4 to make your calculations faster.

  • The initial step is to find out the First Term of Sequence a = 4, Common Ratio r = 4 and n = 7
  • 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[(47-1)/(4-1)]
  • Simplifying further we have the Sum of n terms of Geometric Sequence S6= 21844.0.

Example for Finding Sum of n terms of Geometric Sequence

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

FAQs on Sum of n terms in G.P for a = 4, n = 7, and r =4

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 = 7, and r =4?

Sum of n terms in the Geometric Sequence a = 4, n = 7, and r =4 is 21844.0.

3. How to find the sum of n terms in Geometric Sequence a = 4, n = 7, and r =4 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 = 7, and r =4 quickly.