What kind of sequence is this? 385, 371, 354, 334, ... Choices: (A)arithmetic (B)geometric (C)both (D)neither

Verify Differences Uniform: Let's verify if the differences between consecutive terms are uniform. Given sequence: 385, 371, 354, 334, ... Are the consecutive differences in the sequence equal? Let's calculate the differences. 371 - 385 = -14, 354 - 371 = -17, 334 - 354 = -20. The consecutive differences in the sequence are not equal, as the differences are -14, -17, and -20 respectively.Check Ratios Equality: Since the differences are not equal, the sequence is not arithmetic. Now, let's check whether the ratios between consecutive terms are equal. Given sequence: 385, 371, 354, 334, ... Are the ratios between consecutive terms in the sequence equal? Let's calculate the ratios. 371 / 385 ≈ 0.9636, 354 / 371 ≈ 0.9542, 334 / 354 ≈ 0.9435. The ratios between consecutive terms are not equal, as the ratios are approximately 0.9636, 0.9542, and 0.9435 respectively.Sequence Classification: Since the sequence has neither a common difference nor a common ratio, it is neither arithmetic nor geometric. Therefore, the sequence is neither arithmetic nor geometric.

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What kind of sequence is this? $\newline$ $385, 371, 354, 334, \dots$ $\newline$ Choices: $\newline$ (A) arithmetic $\newline$ (B) geometric $\newline$ (C) both $\newline$ (D) neither

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Algebra 2

Classify formulas and sequences

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Q. What kind of sequence is this?

\newline

385, 371, 354, 334, \dots

\newline

Choices:

\newline

(A) arithmetic

\newline

(B) geometric

\newline

\newline

(D) neither

Verify Differences Uniform: Let's verify if the differences between consecutive terms are uniform. Given sequence: $385, 371, 354, 334, \ldots$ Are the consecutive differences in the sequence equal? Let's calculate the differences. $\newline$ $371 - 385 = -14$ , $\newline$ $354 - 371 = -17$ , $\newline$ $334 - 354 = -20$ . $\newline$ The consecutive differences in the sequence are not equal, as the differences are $-14, -17,$ and $-20$ respectively.
Check Ratios Equality: Since the differences are not equal, the sequence is not arithmetic. Now, let's check whether the ratios between consecutive terms are equal. Given sequence: $385, 371, 354, 334, ext{...}$ Are the ratios between consecutive terms in the sequence equal? Let's calculate the ratios. $\newline$ $\frac{371}{385} \approx 0.9636$ , $\newline$ $\frac{354}{371} \approx 0.9542$ , $\newline$ $\frac{334}{354} \approx 0.9435$ . $\newline$ The ratios between consecutive terms are not equal, as the ratios are approximately $0.9636, 0.9542,$ and $0.9435$ respectively.
Sequence Classification: Since the sequence has neither a common difference nor a common ratio, it is neither arithmetic nor geometric. Therefore, the sequence is neither arithmetic nor geometric.