What kind of sequence is this? 18, 18, 18, 18, ... Choices: (A)arithmetic (B)geometric (C)both (D)neither

Check Differences Uniform: Check if the differences between consecutive terms are uniform. Given sequence: 18, 18, 18, 18, ... Are the consecutive differences in the sequence equal? 18 - 18 = 0, 18 - 18 = 0, 18 - 18 = 0. The consecutive differences in the sequence are equal and are all zero.Check Ratios Defined: Check whether the ratios between consecutive terms are defined and equal. Given sequence: 18, 18, 18, 18, ... 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 18 / 18 = 1. The sequence has a common ratio of 1.Determine Sequence Type: Determine the type of sequence. An arithmetic sequence has a common difference between consecutive terms. A geometric sequence has a common ratio between consecutive terms. Since the sequence has both a common difference of 0 and a common ratio of 1, it qualifies as both an arithmetic and a geometric sequence.

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What kind of sequence is this? $\newline$ $18, 18, 18, 18, \ldots$ $\newline$ 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

18, 18, 18, 18, \ldots

\newline

Choices:

\newline

(A) arithmetic

\newline

(B) geometric

\newline

\newline

(D) neither

Check Differences Uniform: Check if the differences between consecutive terms are uniform. Given sequence: $18, 18, 18, 18, \ldots$ Are the consecutive differences in the sequence equal? $18 - 18 = 0$ , $18 - 18 = 0$ , $18 - 18 = 0$ . The consecutive differences in the sequence are equal and are all zero.
Check Ratios Defined: Check whether the ratios between consecutive terms are defined and equal. Given sequence: $18, 18, 18, 18, ext{...}$ 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 $18 / 18 = 1$ . The sequence has a common ratio of $1$ .
Determine Sequence Type: Determine the type of sequence. An arithmetic sequence has a common difference between consecutive terms. A geometric sequence has a common ratio between consecutive terms. Since the sequence has both a common difference of $0$ and a common ratio of $1$ , it qualifies as both an arithmetic and a geometric sequence.