What kind of sequence is this? 34, 29, 24, 19, ... 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: 34, 29, 24, 19, ... Are the consecutive differences in the sequence equal? 29 - 34 = -5, 24 - 29 = -5, 19 - 24 = -5. The consecutive differences in the sequence are equal and the common difference is -5.Identify Arithmetic Sequence: Since the sequence has a common difference, it is an arithmetic sequence. An arithmetic sequence is defined by having a constant 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. 29 / 34 does not equal 24 / 29, nor does it equal 19 / 24. The ratios between consecutive terms are not equal, so the sequence is not geometric.Final Conclusion: Based on the above steps, we can conclude that the sequence is arithmetic because it has a common difference, and it is not geometric because it does not have a common ratio.

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What kind of sequence is this? $\newline$ $34, 29, 24, 19, \dots$ $\newline$ 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

34, 29, 24, 19, \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: $34, 29, 24, 19, \ldots$ $\newline$ Are the consecutive differences in the sequence equal? $\newline$ $29 - 34 = -5$ , $\newline$ $24 - 29 = -5$ , $\newline$ $19 - 24 = -5$ . $\newline$ The consecutive differences in the sequence are equal and the common difference is $-5$ .
Identify Arithmetic Sequence: Since the sequence has a common difference, it is an arithmetic sequence. An arithmetic sequence is defined by having a constant 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. $\newline$ $\frac{29}{34}$ does not equal $\frac{24}{29}$ , nor does it equal $\frac{19}{24}$ . $\newline$ The ratios between consecutive terms are not equal, so the sequence is not geometric.
Final Conclusion: Based on the above steps, we can conclude that the sequence is arithmetic because it has a common difference, and it is not geometric because it does not have a common ratio.