What kind of sequence is this? 124, 113, 102, 91, ... 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: 124, 113, 102, 91, ... Are the consecutive differences in the sequence equal? 113 - 124 = -11, 102 - 113 = -11, 91 - 102 = -11. The consecutive differences in the sequence are equal.Identify Arithmetic Sequence: Since the consecutive differences are equal, this indicates that the sequence is an arithmetic sequence. An arithmetic sequence is defined by having a common difference between consecutive terms.Check for Geometric Sequence: Now, let's check if the sequence could also be geometric by finding the ratios between consecutive terms. 113 / 124 ≈ 0.911, 102 / 113 ≈ 0.903, 91 / 102 ≈ 0.892. The ratios between consecutive terms are not equal.Final Sequence Classification: Since the sequence has a common difference but not a common ratio, it is an arithmetic sequence and not a geometric sequence.

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What kind of sequence is this? $\newline$ $124, 113, 102, 91, \dots$ $\newline$ 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

124, 113, 102, 91, \dots

\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: $124, 113, 102, 91, ext{...}$ Are the consecutive differences in the sequence equal? $\newline$ $113 - 124 = -11$ , $102 - 113 = -11$ , $91 - 102 = -11$ . $\newline$ The consecutive differences in the sequence are equal.
Identify Arithmetic Sequence: Since the consecutive differences are equal, this indicates that the sequence is an arithmetic sequence. An arithmetic sequence is defined by having a common difference between consecutive terms.
Check for Geometric Sequence: Now, let's check if the sequence could also be geometric by finding the ratios between consecutive terms. $\newline$ $\frac{113}{124} \approx 0.911$ , $\frac{102}{113} \approx 0.903$ , $\frac{91}{102} \approx 0.892$ . $\newline$ The ratios between consecutive terms are not equal.
Final Sequence Classification: Since the sequence has a common difference but not a common ratio, it is an arithmetic sequence and not a geometric sequence.