What kind of sequence is this? 244, 261, 276, 289, ... 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: 244, 261, 276, 289, ... Are the consecutive differences in the sequence equal? 261 - 244 = 17, 276 - 261 = 15, 289 - 276 = 13. The consecutive differences in the sequence are not equal, but they seem to be decreasing by a constant amount (2).Check Arithmetic or Geometric: Since the differences are not constant, the sequence is not arithmetic. Now let's check if the sequence is geometric by finding the ratios between consecutive terms. Are the ratios between consecutive terms in the sequence equal? 261 / 244 ≈ 1.0697, 276 / 261 ≈ 1.0575, 289 / 276 ≈ 1.0471. The ratios between consecutive terms are not equal.Sequence Classification: Since the sequence has neither a common difference nor a common ratio, it is neither an arithmetic sequence nor a geometric sequence.

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What kind of sequence is this? $\newline$ $244, 261, 276, 289, \dots$ $\newline$ 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

244, 261, 276, 289, \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: $244, 261, 276, 289, \ldots$ $\newline$ Are the consecutive differences in the sequence equal? $\newline$ $261 - 244 = 17$ , $276 - 261 = 15$ , $289 - 276 = 13$ . $\newline$ The consecutive differences in the sequence are not equal, but they seem to be decreasing by a constant amount ( $2$ ).
Check Arithmetic or Geometric: Since the differences are not constant, the sequence is not arithmetic. Now let's check if the sequence is geometric by finding the ratios between consecutive terms. $\newline$ Are the ratios between consecutive terms in the sequence equal? $\newline$ $\frac{261}{244} \approx 1.0697$ , $\frac{276}{261} \approx 1.0575$ , $\frac{289}{276} \approx 1.0471$ . $\newline$ The ratios between consecutive terms are not equal.
Sequence Classification: Since the sequence has neither a common difference nor a common ratio, it is neither an arithmetic sequence nor a geometric sequence.