What kind of sequence is this? 43, 55, 67, 79, ... 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: 43, 55, 67, 79, ... Are the consecutive differences in the sequence equal? 55 - 43 = 12, 67 - 55 = 12, 79 - 67 = 12. 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. 55 / 43 ≈ 1.279, 67 / 55 ≈ 1.218, 79 / 67 ≈ 1.179. 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? $\newline$ $43, 55, 67, 79, \dots$ $\newline$ 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

43, 55, 67, 79, \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: $43, 55, 67, 79, \ldots$ $\newline$ Are the consecutive differences in the sequence equal? $\newline$ $55 - 43 = 12$ , $67 - 55 = 12$ , $79 - 67 = 12$ . $\newline$ 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. $\frac{55}{43} \approx 1.279$ , $\frac{67}{55} \approx 1.218$ , $\frac{79}{67} \approx 1.179$ . 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.