What kind of sequence is this? 2, 3, 5, 8, ... Choices: (A)arithmetic (B)geometric (C)both (D)neither

Identify Given Sequence: Identify the given sequence and list the terms in order. Sequence: 2, 3, 5, 8, ...Check Arithmetic: Check if the sequence is arithmetic by finding the differences between consecutive terms. 3 - 2 = 1 5 - 3 = 2 8 - 5 = 3 The differences are not constant, so the sequence is not arithmetic.Check Geometric: Check if the sequence is geometric by finding the ratios between consecutive terms. 3 / 2 = 1.5 5 / 3 ≈ 1.67 8 / 5 = 1.6 The ratios are not constant, so the sequence is not geometric.Determine Sequence Type: Since the sequence has neither a constant difference nor a constant ratio, determine the type of sequence. The sequence is neither arithmetic nor geometric.

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What kind of sequence is this? $\newline$ $2, 3, 5, 8, \dots$ $\newline$ Choices: $\newline$ (A) arithmetic $\newline$ (B) geometric $\newline$ (C) both $\newline$ (D) neither

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Math Problems

Algebra 1

Identify arithmetic and geometric sequences

Full solution

Q. What kind of sequence is this?

\newline

2, 3, 5, 8, \dots

\newline

Choices:

\newline

(A) arithmetic

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(B) geometric

\newline

\newline

(D) neither

Identify Given Sequence: Identify the given sequence and list the terms in order. $Sequence: 2, 3, 5, 8, \ldots$
Check Arithmetic: Check if the sequence is arithmetic by finding the differences between consecutive terms. $\newline$ $3 - 2 = 1$ $\newline$ $5 - 3 = 2$ $\newline$ $8 - 5 = 3$ $\newline$ The differences are not constant, so the sequence is not arithmetic.
Check Geometric: Check if the sequence is geometric by finding the ratios between consecutive terms. $\newline$ $\frac{3}{2} = 1.5$ $\newline$ $\frac{5}{3} \approx 1.67$ $\newline$ $\frac{8}{5} = 1.6$ $\newline$ The ratios are not constant, so the sequence is not geometric.
Determine Sequence Type: Since the sequence has neither a constant difference nor a constant ratio, determine the type of sequence. $\newline$ The sequence is neither arithmetic nor geometric.