What kind of sequence is this? 174, 182, 187, 189, ... Choices: (A)arithmetic (B)geometric (C)both (D)neither

List Sequence Pattern: Let's list the given sequence and observe the pattern. Sequence: 174, 182, 187, 189, ...Check Arithmetic Differences: Check if the sequence is arithmetic by finding the differences between consecutive terms. 182 - 174 = 8 187 - 182 = 5 189 - 187 = 2 The differences are not the same, so the sequence is not arithmetic.Check Geometric Ratios: Check if the sequence is geometric by finding the ratios between consecutive terms. 182 / 174 ≈ 1.046 187 / 182 ≈ 1.027 189 / 187 ≈ 1.011 The ratios are not the same, so the sequence is not geometric.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? $\newline$ $174, 182, 187, 189, \dots$ $\newline$ 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

174, 182, 187, 189, \dots

\newline

Choices:

\newline

(A) arithmetic

\newline

(B) geometric

\newline

\newline

(D) neither

List Sequence Pattern: Let's list the given sequence and observe the pattern. $\newline$ Sequence: $174$ , $182$ , $187$ , $189$ , ...
Check Arithmetic Differences: Check if the sequence is arithmetic by finding the differences between consecutive terms. $\newline$ $182 - 174 = 8$ $\newline$ $187 - 182 = 5$ $\newline$ $189 - 187 = 2$ $\newline$ The differences are not the same, so the sequence is not arithmetic.
Check Geometric Ratios: Check if the sequence is geometric by finding the ratios between consecutive terms. $\newline$ $\frac{182}{174} \approx 1.046$ $\newline$ $\frac{187}{182} \approx 1.027$ $\newline$ $\frac{189}{187} \approx 1.011$ $\newline$ The ratios are not the same, so the sequence is not geometric.
Sequence Classification: Since the sequence has neither a common difference nor a common ratio, it is neither arithmetic nor geometric.