What is the sum of the geometric sequence 3/12 if there are 8 terms?

65536
Answer: The sum of the geometric progression 3, 12, 48, … if there are 8 terms is 65536.

What is the 7th term of the geometric sequence?

1/16
The nth term of the geometric sequence is given by: an = a · rn – 1, Where a is the first term and r is the common ratio respectively. Therefore, the 7th term of the geometric sequence a7 is 1/16.

What is the sum of the terms of a geometric sequence?

The behavior of the terms depends on the common ratio r . For r≠1 r ≠ 1 , the sum of the first n terms of a geometric series is given by the formula s=a1−rn1−r s = a 1 − r n 1 − r .

What is the sum of the first n terms of geometric sequence?

The sum of the first n terms of a geometric sequence is called geometric series. Example 1: Find the sum of the first 8 terms of the geometric series if a1=1 and r=2.

How do you find the sum of a geometric series?

In mathematics, geometric series and geometric sequences are typically denoted just by their general term aₙ, so the geometric series formula would look like this: S = ∑ aₙ = a₁ + a₂ + a₃ +… + aₘ Where m is the total number of terms we want to sum.

How do you find the sum of the first terms?

Sum of the First Terms of a Geometric Sequence. If a sequence is geometric there are ways to find the sum of the first terms, denoted , without actually adding all of the terms. To find the sum of the first terms of a geometric sequence use the formula , where is the number of terms, is the first term and is the common ratio .

What are the most important values of a finite geometric sequence?

With our geometric sequence calculator, you can calculate the most important values of a finite geometric sequence. These values include the common ratio, the initial term, the last term and the number of terms. Here’s a brief description of them: Initial term: First term of the sequence,