What is the next term in the geometric sequence 4, -12, 36 brainly

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The answer is -108. Based on the given geometric sequence, the next term is -108. The given in the geometric sequence are: 4, -12, 36. The solution is to find the common ratio of the given terms. It can be observed that the common ratio of -12 and 26, which follows the first term 4, is -3. Therefore, -3 should be multiplied to the last term, 36, and the answer is -108.

The Given in the Geometric Sequence

The given terms in the geometric sequence are: 4, -12, 36.

The Solution to the Geometric Sequence

To solve the geometric sequence, consider the formula

• =
  
  term of the sequence
• a = first term of the sequence
• r = common ratio

Here are the steps for the given geometric sequence:

1. is the 4th term of the sequence that we are looking for
2. a = 4
3. r = common ratio: It can be observed that the common ratio is -3, wherein the next term is always being computed as previous term × -3.
4. 36 × -3 = -108
5. Therefore, the answer is -108.

Explanation of Geometric Sequence

A geometric sequence is a sequence wherein a sequence is being made by multiplying the same value to the previous terms.

Those are the details about the given geometric sequence. If you want to read more about this, you may click on the following links below: