What kind of sequence is this? 124, 134, 144, 154, ... 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, 134, 144, 154, ... Are the consecutive differences in the sequence equal? 134 - 124 = 10, 144 - 134 = 10, 154 - 144 = 10. 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. 134 / 124 ≈ 1.0806, 144 / 134 ≈ 1.0746, 154 / 144 ≈ 1.0694. The ratios between consecutive terms are not equal.Conclusion: Since the sequence does not have a common ratio, it is not a geometric sequence. A geometric sequence is defined by having a common ratio between consecutive terms.

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What kind of sequence is this? $\newline$ $124, 134, 144, 154, \dots$ $\newline$ 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, 134, 144, 154, \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: $124, 134, 144, 154, \ldots$ $\newline$ Are the consecutive differences in the sequence equal? $\newline$ $134 - 124 = 10$ , $144 - 134 = 10$ , $154 - 144 = 10$ . $\newline$ 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. $\frac{134}{124} \approx 1.0806$ , $\frac{144}{134} \approx 1.0746$ , $\frac{154}{144} \approx 1.0694$ . The ratios between consecutive terms are not equal.
Conclusion: Since the sequence does not have a common ratio, it is not a geometric sequence. A geometric sequence is defined by having a common ratio between consecutive terms.