Algebra-1

To determine which of the given sequences is a geometric sequence, we need to check if each sequence has a constant ratio between consecutive terms. A sequence is geometric if each term after the first is found by multiplying the previous term by a constant factor called the common ratio.

Let's analyze each sequence:

A.

To check if this is a geometric sequence, calculate the ratio between consecutive terms:

The ratios between consecutive terms are not consistent. Therefore, this sequence is not geometric; it is actually an arithmetic sequence because the difference between consecutive terms is constant 4.

B .

Calculate the ratios between consecutive terms:

Again, the ratios are not consistent. This sequence is also not geometric; it is arithmetic with a constant difference of 7 between consecutive terms.

C .

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