What kind of sequence is this? 46, 52, 58, 64, ... Choices: (A)arithmetic (B)geometric (C)both (D)neither

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What kind of sequence is this?  46, 52, 58, 64, ...    Choices: (A)arithmetic (B)geometric (C)both (D)neither

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Verify Consecutive Differences: Let's verify if the differences between consecutive terms are uniform. Given sequence: 46, 52, 58, 64, ... Are the consecutive differences in the sequence equal? Let's calculate the differences: 52 - 46 = 6, 58 - 52 = 6, 64 - 58 = 6. The consecutive differences in the sequence are equal.Identify Arithmetic Sequence: Since the consecutive differences are equal, this indicates that the sequence is an arithmetic sequence. An arithmetic sequence is defined by having a common difference between consecutive terms. In this case, the common difference is 6.Check for Geometric Sequence: Now, let's check if the sequence could also be geometric by finding the ratios between consecutive terms. Given sequence: 46, 52, 58, 64, ... Are the ratios between consecutive terms in the sequence equal? Let's calculate the ratios: 52 / 46 ≈ 1.1304, 58 / 52 ≈ 1.1154, 64 / 58 ≈ 1.1034. The ratios are not equal.Conclusion: Since the ratios between consecutive terms are not equal, the sequence is not a geometric sequence. A geometric sequence is defined by having a common ratio between consecutive terms, which is not the case here.

What kind of sequence is this? $\newline$ $46, 52, 58, 64, \dots$ $\newline$ Choices: $\newline$ (A) arithmetic $\newline$ (B) geometric $\newline$ (C) both $\newline$ (D) neither

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What kind of sequence is this?\newline46,52,58,64,…46, 52, 58, 64, \dots46,52,58,64,…\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither

What kind of sequence is this? $\newline$ $46, 52, 58, 64, \dots$ $\newline$ Choices: $\newline$ (A) arithmetic $\newline$ (B) geometric $\newline$ (C) both $\newline$ (D) neither