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The Global Insight

How do you find the 12th term in a geometric sequence?

Author

Christopher Ramos

Updated on March 01, 2026

⇒ common ratio =r=3 and the given sequence is geometric sequence. Where an is the nth term, a is the first term and n is the number of terms. ⇒ 12th term is 708588 . ⇒Sum=1062880 .

What is the 12th term of the geometric sequence 2 8 32?

The 12th term of the geometric sequence would be -8,388,608.

What is the 12th term of the geometric sequence 2/10 50?

Answer: It would be 97,656,250.

What is the 12th term of the geometric sequence 8 16 32?

Geometric Sequence Calculator

Sequence:2, 4, 8, 16, 32, 64, 128 …
The 12th term:4096
Sum of the first 12 terms:8190

What is the nth term of a geometric sequence?

The nth term of a geometric sequence is. a r n − 1 , where is the first term and is the common ratio.

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

When you find the sum of something, you are adding up each term in the sequence. So the sum of this sequence is 12288 .

What is the term to term rule for 4/12 36 108?

It starts from the number 4. The next number is 12/4=3 times greater than the first. So if this sequence is a geometric one, then the next term must be 12*3=36. This is true, and the next term must be 36*3=108, which is also true.

What is the sum of the geometric sequence 4/16 64 If there are 8 terms?

87380
Answer: The sum of the geometric sequence 4, 16, 64, … if there are 8 terms is 87380.

What is the common ratio in this sequence 96 48 24 12?

What are the next two numbers in the pattern of -96,48,-24,12? – Quora. So, the next two numbers in the given pattern be -6 and 3. These are four terms in a geometric series where the common ratio between successive terms is -1/2.

What is the next term of the geometric sequence 135 45 15?

Answer: if your going down like 135, 45, 15 then the next term would be 5, but if your going up like 15, 45, 135 then the next term would be 405.

How is the common ratio of a geometric sequence determined?

A geometric sequence is a type of sequence in which each subsequent term after the first term is determined by multiplying the previous term by a constant (not 1), which is referred to as the common ratio. The following is a geometric sequence in which each subsequent term is multiplied by 2:

How to find the 12 th term of a geometric series?

Find the 12 th term of the geometric series: 1, 3, 9, 27, 81, Depending on the value of r, the behavior of a geometric sequence varies. If r is not -1, 1, or 0, the sequence will exhibit exponential growth or decay. If r is negative, the sign of the terms in the sequence will alternate between positive and negative.

How to find the sum of a geometric sequence?

To find the sum of a finite geometric sequence, use the following formula: where a is the first term in the sequence, r is the common ratio between the terms, and n is the number of terms in the sequence. Find the sum of the first 12 terms in the geometric series: 1, 3, 9, 27, 81,…

How to find the nth term of a geometric sequence?

If r is equal to 1, the sequence is a constant sequence, not a geometric sequence. To determine the nth term of the sequence, the following formula can be used: a n = ar n-1 where a n is the nth term in the sequence, r is the common ratio, and a is the value of the first term. Find the 12 th term of the geometric series: 1, 3, 9, 27, 81.