What kind of sequence is this? 1, 2, 3, 5, ... Choices: (A)arithmetic (B)geometric (C)both (D)neither

Check for Arithmetic Sequence: Let's first check if the sequence is arithmetic by finding the differences between consecutive terms. Given sequence: 1, 2, 3, 5, ... Are the consecutive differences in the sequence equal? 2 - 1 = 1, 3 - 2 = 1, 5 - 3 = 2. The consecutive differences in the sequence are not equal.Check for Geometric Sequence: Since the differences are not consistent, the sequence is not arithmetic. Now, let's check if the sequence is geometric by finding the ratios between consecutive terms. Given sequence: 1, 2, 3, 5, ... Are the ratios between consecutive terms in the sequence equal? 2 / 1 = 2, 3 / 2 = 1.5, 5 / 3 ≈ 1.67. The ratios between consecutive terms in the sequence are not equal.Sequence Classification: Since the sequence has neither a common difference nor a common ratio, it is neither arithmetic nor geometric.

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What kind of sequence is this? $\newline$ $1$ , $2$ , $3$ , $5$ , ... $\newline$ 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

1

2

3

5

, ...

\newline

Choices:

\newline

(A) arithmetic

\newline

(B) geometric

\newline

\newline

(D) neither

Check for Arithmetic Sequence: Let's first check if the sequence is arithmetic by finding the differences between consecutive terms. Given sequence: $1, 2, 3, 5, \ldots$ $\newline$ Are the consecutive differences in the sequence equal? $2 - 1 = 1$ , $3 - 2 = 1$ , $5 - 3 = 2$ . The consecutive differences in the sequence are not equal.
Check for Geometric Sequence: Since the differences are not consistent, the sequence is not arithmetic. Now, let's check if the sequence is geometric by finding the ratios between consecutive terms. Given sequence: $1, 2, 3, 5, \ldots$ $\newline$ Are the ratios between consecutive terms in the sequence equal? $\frac{2}{1} = 2$ , $\frac{3}{2} = 1.5$ , $\frac{5}{3} \approx 1.67$ . The ratios between consecutive terms in the sequence are not equal.
Sequence Classification: Since the sequence has neither a common difference nor a common ratio, it is neither arithmetic nor geometric.