What kind of sequence is this? 124, 140, 156, 172, ... Choices: (A)arithmetic (B)geometric (C)both (D)neither

Verify Differences Uniform: Let's verify if the differences between consecutive terms are uniform. Given sequence: 124, 140, 156, 172, ... Are the consecutive differences in the sequence equal? 140 - 124 = 16, 156 - 140 = 16, 172 - 156 = 16. The consecutive differences in the sequence are equal.Consecutive Differences Equal: 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.Identify Arithmetic Sequence: Now, let's check if the sequence could also be geometric by finding the ratios between consecutive terms. 140 / 124 ≈ 1.129, 156 / 140 ≈ 1.114, 172 / 156 ≈ 1.103. The ratios between consecutive terms are not equal.Check for Geometric Sequence: 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? $\newline$ $124, 140, 156, 172, \dots$ $\newline$ 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, 140, 156, 172, \dots

\newline

Choices:

\newline

(A) arithmetic

\newline

(B) geometric

\newline

\newline

(D) neither

Verify Differences Uniform: Let's verify if the differences between consecutive terms are uniform. Given sequence: $124, 140, 156, 172, \ldots$ $\newline$ Are the consecutive differences in the sequence equal? $\newline$ $140 - 124 = 16$ , $156 - 140 = 16$ , $172 - 156 = 16$ . $\newline$ The consecutive differences in the sequence are equal.
Consecutive Differences Equal: 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.
Identify Arithmetic Sequence: Now, let's check if the sequence could also be geometric by finding the ratios between consecutive terms. $\frac{140}{124} \approx 1.129$ , $\frac{156}{140} \approx 1.114$ , $\frac{172}{156} \approx 1.103$ . The ratios between consecutive terms are not equal.
Check for Geometric Sequence: 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.