What kind of sequence is this? 36, 49, 64, 81, ... 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: 36, 49, 64, 81, ... Are the consecutive differences in the sequence equal? 49 - 36 = 13, 64 - 49 = 15, 81 - 64 = 17. The consecutive differences in the sequence are not equal.Check Ratios Equality: Since the differences are not equal, the sequence is not arithmetic. Now, let's check whether the ratios between consecutive terms are equal. Given sequence: 36, 49, 64, 81, ... Are the ratios between consecutive terms in the sequence equal? 49 / 36, 64 / 49, 81 / 64. Let's calculate these ratios: 49 / 36 ≈ 1.3611, 64 / 49 ≈ 1.3061, 81 / 64 ≈ 1.2656. 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 arithmetic nor geometric. Therefore, the sequence is neither arithmetic nor geometric.

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What kind of sequence is this? $\newline$ $36, 49, 64, 81, \ldots$ $\newline$ 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

36, 49, 64, 81, \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: $36, 49, 64, 81, \ldots$ Are the consecutive differences in the sequence equal? $49 - 36 = 13$ , $64 - 49 = 15$ , $81 - 64 = 17$ . The consecutive differences in the sequence are not equal.
Check Ratios Equality: Since the differences are not equal, the sequence is not arithmetic. Now, let's check whether the ratios between consecutive terms are equal. Given sequence: $36, 49, 64, 81, ext{...}$ Are the ratios between consecutive terms in the sequence equal? rac{49}{36}, rac{64}{49}, rac{81}{64}. Let's calculate these ratios: rac{49}{36} hickapprox 1.3611, rac{64}{49} hickapprox 1.3061, rac{81}{64} hickapprox 1.2656. 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 arithmetic nor geometric. Therefore, the sequence is neither arithmetic nor geometric.