How do you find the 7th term of a GP?

Hint: To find the 7th term which comes in the given geometric progression using the formula \[{{t}_{nth}}=a({{r}^{n-1}})\].

What is the sum of the first 7 terms in a geometric sequence?

The first 7 terms and sum are: 3 + 6 + 12 + 24+ 48 + 96 +192 = 381 🙂 S is the sum, a is the first value 3, r is the common ratio 2, and n the number of terms is 7. S=a(r^n -1)/r-1.

What is the 7th term in a geometric sequence?

Solution: The nth term of the geometric sequence is given by: an = a · rn – 1, Therefore, the 7th term of the geometric sequence a7 is 1/16.

What is the sum of 7 terms of the GP 2 6 18?

Hence sum of 7 terms of given GP is -1094. This discussion on The sum of the series 2, 6, 18, .

What is the 7th term in Fibonacci sequence?

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811.

What is the 7th term in the sequence an equals 30 4n?

2
The 7th term in the sequence, an = 30 – 4n is 2.

How do you find the geometric sum?

To find the sum of a finite geometric series, use the formula, Sn=a1(1−rn)1−r,r≠1 , where n is the number of terms, a1 is the first term and r is the common ratio .

What is the sum of the first 7 terms of a GP?

The first term of a GP is 729 and the 7th term is 64. Find the sum of the first 7 terms of the GP. a = 729 … (1) ar^6= 64 … (2) = 729 * 0.941472336/0.33333333 = 2059. Check: By addition, the sum = 729+486+324+216+144+96+04 = 2059. Correct. The sum of the 7 terms of the GP is thus 2059.

How do you find the sum of the first n terms?

The formula to calculate the sum of the first n terms of a GP is given by: . Sn = a[(rn-1)/(r-1)] if r ≠ 1and r > 1. Sn = a[(1 – rn)/(1 – r)] if r ≠ 1 and r < 1. The nth term from the end of the GP with the last term l and common ratio r = l/ [r(n – 1)].

What is the nth term of GP = 64/729?

First term a = 729 and 7th term = 64 we know that nth term of G.P. = arn-1 a7 = ar6 putting values 64 = 729 r6 64/729 = r6 2^6/3^6 = r6 (2/3)^6= r6 (2/3)^6= r6 Comparing powers r = 2/3 (टीचू) Maths Science GST

How do you find the 7th term of a number?

So to find the 7th term you can do it two ways: One way: 3 is the 1st term, 9 is the 2nd term, 27 is the 3rd term so then. 4th term: 27 X 3 = 81. 5th term: 81 X 3 = 243. 6th term: 243 X 3 = 729. 7th term: 729 X 3 = 2,187. Another way: