What kind of sequence is this? 123, 123, 123, 123, ... Choices: (A)arithmetic (B)geometric (C)both (D)neither

Verify Differences Uniform: Let's verify if the differences between consecutive terms are uniform. Given sequence: 123, 123, 123, 123, ... Are the consecutive differences in the sequence equal? 123 - 123 = 0, 123 - 123 = 0, 123 - 123 = 0. The consecutive differences in the sequence are equal and are all zero.Check Ratios Defined: Let's check whether the ratios between consecutive terms are defined and equal. Given sequence: 123, 123, 123, 123, ... Are the ratios between consecutive terms in the sequence equal? Since all terms are the same, the ratio of any term to the previous term is 123 / 123 = 1. Yes, the sequence has a common ratio of 1.Sequence Classification: Arithmetic sequence: Consecutive terms have a common difference. Geometric sequence: Consecutive terms have a common ratio. The sequence 123, 123, 123, 123, ... has both a common difference of 0 and a common ratio of 1. Therefore, it qualifies as both an arithmetic and a geometric sequence.

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What kind of sequence is this? $\newline$ $123, 123, 123, 123, \ldots$ $\newline$ 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?

\newline

123, 123, 123, 123, \ldots

\newline

Choices:

\newline

(A) arithmetic

\newline

(B) geometric

\newline

\newline

(D) neither

Verify Differences Uniform: Let's verify if the differences between consecutive terms are uniform. Given sequence: $123, 123, 123, 123, \ldots$ Are the consecutive differences in the sequence equal? $123 - 123 = 0$ , $123 - 123 = 0$ , $123 - 123 = 0$ . The consecutive differences in the sequence are equal and are all zero.
Check Ratios Defined: Let's check whether the ratios between consecutive terms are defined and equal. Given sequence: $123, 123, 123, 123, ext{...}$ Are the ratios between consecutive terms in the sequence equal? Since all terms are the same, the ratio of any term to the previous term is $123 / 123 = 1$ . Yes, the sequence has a common ratio of $1$ .
Sequence Classification: Arithmetic sequence: Consecutive terms have a common difference. Geometric sequence: Consecutive terms have a common ratio. The sequence $123, 123, 123, 123, ...$ has both a common difference of $0$ and a common ratio of $1$ . Therefore, it qualifies as both an arithmetic and a geometric sequence.