What kind of sequence is this? 208, 192, 179, 169, ... Choices: (A)arithmetic (B)geometric (C)both (D)neither

Check Differences: Check if the differences between consecutive terms are constant. Calculate the differences: 192 - 208 = -16, 179 - 192 = -13, 169 - 179 = -10. Not Arithmetic: Since the differences are not constant (-16, -13, -10), it's not an arithmetic sequence. Check Ratios: Check if the ratios between consecutive terms are constant. Calculate the ratios: 192 / 208 ≈ 0.9231, 179 / 192 ≈ 0.9323, 169 / 179 ≈ 0.9441. Not Geometric: Since the ratios are not constant (0.9231, 0.9323, 0.9441), it's not a geometric sequence.

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What kind of sequence is this? $\newline$ $208, 192, 179, 169, \dots$ $\newline$ 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

208, 192, 179, 169, \dots

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Choices:

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(A) arithmetic

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(B) geometric

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\newline

(D) neither

Check Differences: Check if the differences between consecutive terms are constant. Calculate the differences: $192 - 208 = -16$ , $179 - 192 = -13$ , $169 - 179 = -10$ .
Not Arithmetic: Since the differences are not constant ( $-16$ , $-13$ , $-10$ ), it's not an arithmetic sequence.
Check Ratios: Check if the ratios between consecutive terms are constant. Calculate the ratios: $\frac{192}{208} \approx 0.9231$ , $\frac{179}{192} \approx 0.9323$ , $\frac{169}{179} \approx 0.9441$ .
Not Geometric: Since the ratios are not constant $0.9231, 0.9323, 0.9441$ , it's not a geometric sequence.