What kind of sequence is this? 95, 190, 380, 760, ... Choices: (A)arithmetic (B)geometric (C)both (D)neither

Check Arithmetic Differences: Let's first check if the sequence is arithmetic by finding the differences between consecutive terms. Given sequence: 95, 190, 380, 760, ... Calculate the differences: 190 - 95 = 95, 380 - 190 = 190, 760 - 380 = 380. Check if the differences are equal: 95, 190, 380. The differences are not equal, so the sequence is not arithmetic.Calculate Ratios for Geometric Sequence: Now, let's check if the sequence is geometric by finding the ratios between consecutive terms. Given sequence: 95, 190, 380, 760, ... Calculate the ratios: 190 / 95 = 2, 380 / 190 = 2, 760 / 380 = 2. Check if the ratios are equal: 2, 2, 2. The ratios are equal, so the sequence is geometric.

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What kind of sequence is this? $\newline$ $95, 190, 380, 760, \dots$ $\newline$ 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

95, 190, 380, 760, \dots

\newline

Choices:

\newline

(A) arithmetic

\newline

(B) geometric

\newline

\newline

(D) neither

Check Arithmetic Differences: Let's first check if the sequence is arithmetic by finding the differences between consecutive terms. Given sequence: $95, 190, 380, 760, \ldots$ $\newline$ Calculate the differences: $190 - 95 = 95$ , $380 - 190 = 190$ , $760 - 380 = 380$ . $\newline$ Check if the differences are equal: $95, 190, 380$ . $\newline$ The differences are not equal, so the sequence is not arithmetic.
Calculate Ratios for Geometric Sequence: Now, let's check if the sequence is geometric by finding the ratios between consecutive terms. Given sequence: $95, 190, 380, 760, \ldots$ $\newline$ Calculate the ratios: $\frac{190}{95} = 2$ , $\frac{380}{190} = 2$ , $\frac{760}{380} = 2$ . $\newline$ Check if the ratios are equal: $2, 2, 2$ . $\newline$ The ratios are equal, so the sequence is geometric.