What kind of sequence is this? 54, 74, 94, 114, ... Choices: (A)arithmetic (B)geometric (C)both (D)neither

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What kind of sequence is this?  54, 74, 94, 114, ...    Choices: (A)arithmetic (B)geometric (C)both (D)neither

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Verify Consecutive Differences Uniform: Let's verify if the differences between consecutive terms are uniform. Given sequence: 54, 74, 94, 114, ... Are the consecutive differences in the sequence equal? Let's calculate the differences: 74 - 54 = 20, 94 - 74 = 20, 114 - 94 = 20. 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 20.Check for Geometric Sequence: Now, let's check whether the sequence could also be geometric by finding the ratios between consecutive terms. Given sequence: 54, 74, 94, 114, ... Are the ratios between consecutive terms in the sequence equal? Let's calculate the ratios: 74 / 54 ≈ 1.37, 94 / 74 ≈ 1.27, 114 / 94 ≈ 1.21. The ratios between consecutive terms are not equal.Sequence Analysis Conclusion: Since the sequence does not have a common ratio, it 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? $\newline$ $54, 74, 94, 114, \ldots$ $\newline$ Choices: $\newline$ (A) arithmetic $\newline$ (B) geometric $\newline$ (C) both $\newline$ (D) neither

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What kind of sequence is this?\newline54,74,94,114,…54, 74, 94, 114, \ldots54,74,94,114,…\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither

What kind of sequence is this? $\newline$ $54, 74, 94, 114, \ldots$ $\newline$ Choices: $\newline$ (A) arithmetic $\newline$ (B) geometric $\newline$ (C) both $\newline$ (D) neither