The sequence provided is indeed a geometric sequence. A geometric sequence is one in which each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

To find the common ratio, you divide any term by the previous term.

For example, if we divide the second term (32) by the first term (8), we get:

32 ÷ 8 = 4

We can check this ratio with the next terms:

128 ÷ 32 = 4
512 ÷ 128 = 4

Since the ratio is the same for all consecutive terms, we can confirm that this is a geometric sequence and the common ratio (r) is 4.

Question

The sequence provided is indeed a geometric sequence. A geometric sequence is one in which each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

To find the common ratio, you divide any term by the previous term.

For example, if we divide the second term (32) by the first term (8), we get:

32 ÷ 8 = 4

We can check this ratio with the next terms:

128 ÷ 32 = 4
512 ÷ 128 = 4

Since the ratio is the same for all consecutive terms, we can confirm that this is a geometric sequence and the common ratio (r) is 4.

Knowee AI · Accepted Answer

The sequence provided is indeed a geometric sequence. A geometric sequence is one in which each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

To find the common ratio, you divide any term by the previous term.

For example, if we divide the second term (32) by the first term (8), we get:

32 ÷ 8 = 4

We can check this ratio with the next terms:

128 ÷ 32 = 4
512 ÷ 128 = 4

Since the ratio is the same for all consecutive terms, we can confirm that this is a geometric sequence and the common ratio (r) is 4.

Determine whether or not the sequence is geometric. If it is, find the common ratio r. (If an answer does not exist, enter DNE.)8, 32, 128, 512, . . .

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