What kind of sequence is this? 92, 92, 92, 92, ... Choices: (A)arithmetic (B)geometric (C)both (D)neither

Check Arithmetic Sequence: Let's first check if the sequence is an arithmetic sequence. An arithmetic sequence is one where the difference between consecutive terms is constant. Calculation: 92 - 92 = 0, 92 - 92 = 0, 92 - 92 = 0. Since the difference between each pair of consecutive terms is 0, which is constant, the sequence is an arithmetic sequence.Check Geometric Sequence: Now, let's check if the sequence is a geometric sequence. A geometric sequence is one where the ratio between consecutive terms is constant. Calculation: 92 / 92 = 1, 92 / 92 = 1, 92 / 92 = 1. Since the ratio between each pair of consecutive terms is 1, which is constant, the sequence is a geometric sequence.Conclusion: Since the sequence satisfies the conditions for both an arithmetic sequence (constant difference) and a geometric sequence (constant ratio), we can conclude that the sequence is both an arithmetic and a geometric sequence.

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What kind of sequence is this? $\newline$ $92, 92, 92, 92, \dots$ $\newline$ 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

92, 92, 92, 92, \dots

\newline

Choices:

\newline

(A) arithmetic

\newline

(B) geometric

\newline

\newline

(D) neither

Check Arithmetic Sequence: Let's first check if the sequence is an arithmetic sequence. An arithmetic sequence is one where the difference between consecutive terms is constant. $\newline$ Calculation: $92 - 92 = 0$ , $92 - 92 = 0$ , $92 - 92 = 0$ . $\newline$ Since the difference between each pair of consecutive terms is $0$ , which is constant, the sequence is an arithmetic sequence.
Check Geometric Sequence: Now, let's check if the sequence is a geometric sequence. A geometric sequence is one where the ratio between consecutive terms is constant. $\newline$ Calculation: $\frac{92}{92} = 1$ , $\frac{92}{92} = 1$ , $\frac{92}{92} = 1$ . $\newline$ Since the ratio between each pair of consecutive terms is $1$ , which is constant, the sequence is a geometric sequence.
Conclusion: Since the sequence satisfies the conditions for both an arithmetic sequence (constant difference) and a geometric sequence (constant ratio), we can conclude that the sequence is both an arithmetic and a geometric sequence.