What kind of sequence is this? 144, 169, 196, 225, ... 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: 144, 169, 196, 225, ... Are the consecutive differences in the sequence equal? 169 - 144 = 25, 196 - 169 = 27, 225 - 196 = 29. The consecutive differences in the sequence are not equal, but they are increasing by 2 each time.Check Ratios Equality: Since the differences are not constant, the sequence is not arithmetic. Now let's check whether the ratios between consecutive terms are equal. Given sequence: 144, 169, 196, 225, ... Are the ratios between consecutive terms in the sequence equal? 169 / 144 ≈ 1.1736, 196 / 169 ≈ 1.1598, 225 / 196 ≈ 1.1480. 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? $\newline$ $144, 169, 196, 225, \ldots$ $\newline$ 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

144, 169, 196, 225, \ldots

\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: $144, 169, 196, 225, \ldots$ $\newline$ Are the consecutive differences in the sequence equal? $\newline$ $169 - 144 = 25$ , $196 - 169 = 27$ , $225 - 196 = 29$ . $\newline$ The consecutive differences in the sequence are not equal, but they are increasing by $2$ each time.
Check Ratios Equality: Since the differences are not constant, the sequence is not arithmetic. Now let's check whether the ratios between consecutive terms are equal. $\newline$ Given sequence: $144, 169, 196, 225, \ldots$ $\newline$ Are the ratios between consecutive terms in the sequence equal? $\newline$ $\frac{169}{144} \approx 1.1736$ , $\frac{196}{169} \approx 1.1598$ , $\frac{225}{196} \approx 1.1480$ . $\newline$ 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.