What kind of sequence is this? 976, 976, 976, 976, ... Choices: (A)arithmetic (B)geometric (C)both (D)neither

Verify Consecutive Differences: Let's verify if the differences between consecutive terms are uniform. Given sequence: 976, 976, 976, 976, ... Are the consecutive differences in the sequence equal? 976 - 976 = 0, 976 - 976 = 0, 976 - 976 = 0. The consecutive differences in the sequence are equal and are all zero.Check Equal Ratios: Now, let's check whether the ratios between consecutive terms are equal. Given sequence: 976, 976, 976, 976, ... Are the ratios between consecutive terms in the sequence equal? 976 / 976 = 1, 976 / 976 = 1, 976 / 976 = 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 976, 976, 976, 976, ... 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? $\newline$ $976, 976, 976, 976, \ldots$ $\newline$ 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

976, 976, 976, 976, \ldots

\newline

Choices:

\newline

(A) arithmetic

\newline

(B) geometric

\newline

\newline

(D) neither

Verify Consecutive Differences: Let's verify if the differences between consecutive terms are uniform. Given sequence: $976, 976, 976, 976, ext{...}$ Are the consecutive differences in the sequence equal? $976 - 976 = 0$ , $976 - 976 = 0$ , $976 - 976 = 0$ . The consecutive differences in the sequence are equal and are all zero.
Check Equal Ratios: Now, let's check whether the ratios between consecutive terms are equal. Given sequence: $976, 976, 976, 976, ext{...}$ Are the ratios between consecutive terms in the sequence equal? $976 / 976 = 1$ , $976 / 976 = 1$ , $976 / 976 = 1$ . 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 $976, 976, 976, 976, \ldots$ has both a common difference of $0$ and a common ratio of $1$ . Therefore, it qualifies as both an arithmetic and a geometric sequence.