What kind of sequence is this? 50, 50, 50, 50, ... Choices: (A)arithmetic (B)geometric (C)both (D)neither

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What kind of sequence is this?  50, 50, 50, 50, ...    Choices: (A)arithmetic (B)geometric (C)both (D)neither

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Check for Arithmetic Sequence: Let's first check if the sequence is an arithmetic sequence by determining if there is a common difference between consecutive terms. Given sequence: 50, 50, 50, 50, ... Are the consecutive differences in the sequence equal? 50 - 50 = 0, 50 - 50 = 0, 50 - 50 = 0. The consecutive differences in the sequence are equal and the common difference is 0.Check for Geometric Sequence: Now, let's check if the sequence is a geometric sequence by determining if there is a common ratio between consecutive terms. Given sequence: 50, 50, 50, 50, ... Are the ratios between consecutive terms in the sequence equal? 50 / 50 = 1, 50 / 50 = 1, 50 / 50 = 1. The sequence has a common ratio of 1.Arithmetic Sequence Definition: An arithmetic sequence is defined as a sequence with a constant difference between consecutive terms. Since the difference here is 0, it satisfies the definition of an arithmetic sequence.Geometric Sequence Definition: A geometric sequence is defined as a sequence with a constant ratio between consecutive terms. Since the ratio here is 1, it satisfies the definition of a geometric sequence.Sequence is Both Arithmetic and Geometric: Since the sequence satisfies the definitions of both an arithmetic and a geometric sequence, the correct answer is that the sequence is both arithmetic and geometric.

What kind of sequence is this? $\newline$ $50, 50, 50, 50, \dots$ $\newline$ Choices: $\newline$ (A) arithmetic $\newline$ (B) geometric $\newline$ (C) both $\newline$ (D) neither

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What kind of sequence is this?\newline50,50,50,50,…50, 50, 50, 50, \dots50,50,50,50,…\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither

What kind of sequence is this? $\newline$ $50, 50, 50, 50, \dots$ $\newline$ Choices: $\newline$ (A) arithmetic $\newline$ (B) geometric $\newline$ (C) both $\newline$ (D) neither