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What is the sum of the first 7 terms of the series?

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What is the sum of the first 7 terms of the series?

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.

What is the sum of the first 7 terms of a geometric sequence 3 6 12?

Hence, the value of the sum of the first 7 terms is 381.

What is the sum of the first 12 terms of the geometric sequence 3 6 12?

So the sum of this sequence is 12288 .

What is the sum of the first 8 terms of the geometric sequence 3 6 12 24?

Remove parentheses. This is the formula to find the sum of the first n terms of the geometric sequence. To evaluate it, find the values of r and a1 . Replace the variables with the known values to find S4 .

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

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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. S8=1(1−28)1−2=255. Example 2: Find S10 of the geometric sequence 24,12,6,⋯.

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 .

How do you find the terms of a geometric sequence?

Terms of a Geometric Sequence. If a sequence is geometric there are ways to find the sum of the first n terms, denoted S n, without actually adding all of the terms. To find the sum of the first S n terms of a geometric sequence use the formula. S n = a 1 ( 1 − r n) 1 − r, r ≠ 1,

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How to find the sum of the first nterms of a sequence?

To find the sum of the first Snterms of a geometric sequence use the formula Sn=a1(1−rn)1−r,r≠1, where nis the number of terms, a1is the first term and ris the common ratio. The sum of the first nterms of a geometric sequence is called geometric series.