What kind of sequence is this? 91, 110, 129, 148, ... 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: 91, 110, 129, 148, ... Are the consecutive differences in the sequence equal? 110 - 91 = 19, 129 - 110 = 19, 148 - 129 = 19. 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 Ratios for Geometric Sequence: Let's also check the ratios between consecutive terms to see if it is a geometric sequence. Given sequence: 91, 110, 129, 148, ... Are the ratios between consecutive terms in the sequence equal? 110 / 91 ≈ 1.2088, 129 / 110 ≈ 1.1727, 148 / 129 ≈ 1.1473. The ratios between consecutive terms in the sequence 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? $\newline$ $91, 110, 129, 148, \dots$ $\newline$ 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

91, 110, 129, 148, \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: $91, 110, 129, 148, \ldots$ $\newline$ Are the consecutive differences in the sequence equal? $\newline$ $110 - 91 = 19$ , $129 - 110 = 19$ , $148 - 129 = 19$ . $\newline$ 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 Ratios for Geometric Sequence: Let's also check the ratios between consecutive terms to see if it is a geometric sequence. Given sequence: $91, 110, 129, 148, \ldots$ $\newline$ Are the ratios between consecutive terms in the sequence equal? $\newline$ $\frac{110}{91} \approx 1.2088$ , $\frac{129}{110} \approx 1.1727$ , $\frac{148}{129} \approx 1.1473$ . $\newline$ The ratios between consecutive terms in the sequence 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.