What kind of sequence is this? 131, 118, 105, 92, ... Choices: (A)arithmetic (B)geometric (C)both (D)neither

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What kind of sequence is this?  131, 118, 105, 92, ...    Choices: (A)arithmetic (B)geometric (C)both (D)neither

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Check Arithmetic Sequence: Let's first check if the sequence is arithmetic by finding the differences between consecutive terms. Given sequence: 131, 118, 105, 92, ... Calculate the differences: 118 - 131 = -13, 105 - 118 = -13, 92 - 105 = -13.Calculate Common Difference: Since the differences between consecutive terms are equal, we can conclude that the sequence has a common difference of -13.Confirm Arithmetic Sequence: An arithmetic sequence is defined by having a constant difference between its terms. Since we have found a common difference, this sequence is arithmetic.Check Geometric Sequence: Now, let's check if the sequence could also be geometric by finding the ratios between consecutive terms. Calculate the ratios: 118 / 131, 105 / 118, 92 / 105.Calculate Ratios: Perform the calculations: 118 / 131 ≈ 0.9008, 105 / 118 ≈ 0.8898, 92 / 105 ≈ 0.8762.Confirm Not Geometric: Since the ratios between consecutive terms are not equal, the sequence does not have a common ratio and therefore is not a geometric sequence.Final Conclusion: Based on the calculations, the sequence is arithmetic because it has a common difference, but it is not geometric because it does not have a common ratio.

What kind of sequence is this? $\newline$ $131, 118, 105, 92, \dots$ $\newline$ Choices: $\newline$ (A) arithmetic $\newline$ (B) geometric $\newline$ (C) both $\newline$ (D) neither

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What kind of sequence is this?\newline131,118,105,92,…131, 118, 105, 92, \dots131,118,105,92,…\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither

What kind of sequence is this? $\newline$ $131, 118, 105, 92, \dots$ $\newline$ Choices: $\newline$ (A) arithmetic $\newline$ (B) geometric $\newline$ (C) both $\newline$ (D) neither