What kind of sequence is this? 39, 59, 79, 99, ... Choices: (A)arithmetic (B)geometric (C)both (D)neither

Check Differences Consistent: Step 1: Check if the differences between consecutive terms are consistent. Calculate the differences: 59 - 39 = 20, 79 - 59 = 20, 99 - 79 = 20. Identify Arithmetic Sequence: Step 2: Since the differences are consistent, it suggests an arithmetic sequence. Check if it fits the definition of an arithmetic sequence where each term increases by a fixed amount. Verify Geometric Sequence: Step 3: Verify if it could be a geometric sequence by checking the ratios of consecutive terms. Calculate the ratios: 59 / 39 ≈ 1.51, 79 / 59 ≈ 1.34, 99 / 79 ≈ 1.25. The ratios are not consistent.

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What kind of sequence is this? $\newline$ $39, 59, 79, 99, \dots$ $\newline$ 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

39, 59, 79, 99, \dots

\newline

Choices:

\newline

(A) arithmetic

\newline

(B) geometric

\newline

\newline

(D) neither

Check Differences Consistent: Step $1$ : Check if the differences between consecutive terms are consistent. Calculate the differences: $59 - 39 = 20$ , $79 - 59 = 20$ , $99 - 79 = 20$ .
Identify Arithmetic Sequence: Step $2$ : Since the differences are consistent, it suggests an arithmetic sequence. Check if it fits the definition of an arithmetic sequence where each term increases by a fixed amount.
Verify Geometric Sequence: Step $3$ : Verify if it could be a geometric sequence by checking the ratios of consecutive terms. Calculate the ratios: $\frac{59}{39} \approx 1.51$ , $\frac{79}{59} \approx 1.34$ , $\frac{99}{79} \approx 1.25$ . The ratios are not consistent.