What kind of sequence is this? 119, 238, 476, 952, ... Choices: (A)arithmetic (B)geometric (C)both (D)neither

Check Arithmetic Differences: Let's first check if the sequence is arithmetic by finding the differences between consecutive terms. Given sequence: 119, 238, 476, 952, ... Difference between second and first term: 238 - 119 = 119. Difference between third and second term: 476 - 238 = 238. Difference between fourth and third term: 952 - 476 = 476. We notice that the differences are not constant.Check Geometric Ratios: Now, let's check if the sequence is geometric by finding the ratios between consecutive terms. Given sequence: 119, 238, 476, 952, ... Ratio of second to first term: 238 / 119 = 2. Ratio of third to second term: 476 / 238 = 2. Ratio of fourth to third term: 952 / 476 = 2. The ratios between consecutive terms are constant, which means the sequence is geometric.Identify Sequence Type: Since the sequence has a constant ratio but not a constant difference, it is not arithmetic. It is geometric because each term after the first is obtained by multiplying the previous term by a constant ratio (which is 2 in this case).

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What kind of sequence is this? $\newline$ $119, 238, 476, 952, \dots$ $\newline$ Choices: $\newline$ (A) arithmetic $\newline$ (B) geometric $\newline$ (C) both $\newline$ (D) neither

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Algebra 2

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Q. What kind of sequence is this?

\newline

119, 238, 476, 952, \dots

\newline

Choices:

\newline

(A) arithmetic

\newline

(B) geometric

\newline

\newline

(D) neither

Check Arithmetic Differences: Let's first check if the sequence is arithmetic by finding the differences between consecutive terms. $\newline$ Given sequence: $119, 238, 476, 952, \ldots$ $\newline$ Difference between second and first term: $238 - 119 = 119$ . $\newline$ Difference between third and second term: $476 - 238 = 238$ . $\newline$ Difference between fourth and third term: $952 - 476 = 476$ . $\newline$ We notice that the differences are not constant.
Check Geometric Ratios: Now, let's check if the sequence is geometric by finding the ratios between consecutive terms. $\newline$ Given sequence: $119, 238, 476, 952, \dots$ $\newline$ Ratio of second to first term: $\frac{238}{119} = 2$ . $\newline$ Ratio of third to second term: $\frac{476}{238} = 2$ . $\newline$ Ratio of fourth to third term: $\frac{952}{476} = 2$ . $\newline$ The ratios between consecutive terms are constant, which means the sequence is geometric.
Identify Sequence Type: Since the sequence has a constant ratio but not a constant difference, it is not arithmetic. It is geometric because each term after the first is obtained by multiplying the previous term by a constant ratio (which is $2$ in this case).