What kind of sequence is this? 90, 75, 60, 45, ... Choices: (A)arithmetic (B)geometric (C)both (D)neither

Check Differences Uniform: Step 1: Check if the differences between consecutive terms are uniform. Given sequence: 90, 75, 60, 45, ... Calculate the differences: 75 - 90 = -15, 60 - 75 = -15, 45 - 60 = -15. Check Arithmetic or Geometric: Step 2: Since the differences between consecutive terms are equal, this suggests it might be an arithmetic sequence. Check if it's also geometric by calculating the ratios: 75 / 90 ≈ 0.833, 60 / 75 = 0.8, 45 / 60 = 0.75. The ratios are not equal.

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What kind of sequence is this? $\newline$ $90, 75, 60, 45, \dots$ $\newline$ 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

90, 75, 60, 45, \dots

\newline

Choices:

\newline

(A) arithmetic

\newline

(B) geometric

\newline

\newline

(D) neither

Check Differences Uniform: Step $1$ : Check if the differences between consecutive terms are uniform. Given sequence: $90, 75, 60, 45, \ldots$ Calculate the differences: $75 - 90 = -15$ , $60 - 75 = -15$ , $45 - 60 = -15$ .
Check Arithmetic or Geometric: Step $2$ : Since the differences between consecutive terms are equal, this suggests it might be an arithmetic sequence. Check if it's also geometric by calculating the ratios: $\frac{75}{90} \approx 0.833$ , $\frac{60}{75} = 0.8$ , $\frac{45}{60} = 0.75$ . The ratios are not equal.