What kind of sequence is this? 66, 49, 32, 15, ... Choices: (A)arithmetic (B)geometric (C)both (D)neither

Check for Arithmetic Sequence: Determine if the sequence is arithmetic by checking if the differences between consecutive terms are constant. Calculation: Difference between the second and first term: 49 - 66 = -17 Difference between the third and second term: 32 - 49 = -17 Difference between the fourth and third term: 15 - 32 = -17 Since the differences are constant, the sequence is arithmetic.Check for Geometric Sequence: Determine if the sequence is geometric by checking if the ratios between consecutive terms are constant. Calculation: Ratio of the second to the first term: 49 / 66 ≈ 0.7424242 (not an integer) Ratio of the third to the second term: 32 / 49 ≈ 0.6530612 (not an integer) Ratio of the fourth to the third term: 15 / 32 ≈ 0.46875 (not an integer) Since the ratios are not constant and not integers, the sequence is not geometric.

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What kind of sequence is this? $\newline$ $66, 49, 32, 15, \dots$ $\newline$ 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?

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66, 49, 32, 15, \dots

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Choices:

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(A) arithmetic

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(B) geometric

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\newline

(D) neither

Check for Arithmetic Sequence: Determine if the sequence is arithmetic by checking if the differences between consecutive terms are constant. $\newline$ Calculation: $\newline$ Difference between the second and first term: $49 - 66 = -17$ $\newline$ Difference between the third and second term: $32 - 49 = -17$ $\newline$ Difference between the fourth and third term: $15 - 32 = -17$ $\newline$ Since the differences are constant, the sequence is arithmetic.
Check for Geometric Sequence: Determine if the sequence is geometric by checking if the ratios between consecutive terms are constant. $\newline$ Calculation: $\newline$ Ratio of the second to the first term: $\frac{49}{66} \approx 0.7424242$ (not an integer) $\newline$ Ratio of the third to the second term: $\frac{32}{49} \approx 0.6530612$ (not an integer) $\newline$ Ratio of the fourth to the third term: $\frac{15}{32} \approx 0.46875$ (not an integer) $\newline$ Since the ratios are not constant and not integers, the sequence is not geometric.