What kind of sequence is this? 50, 55, 60, 65, ... Choices: (A)arithmetic (B)geometric (C)both (D)neither

Verify Consecutive Differences: Let's verify if the differences between consecutive terms are uniform. Given sequence: 50, 55, 60, 65, ... Are the consecutive differences in the sequence equal? 55 - 50 = 5, 60 - 55 = 5, 65 - 60 = 5. The consecutive differences in the sequence are equal.Identify Arithmetic Sequence: Since the consecutive differences are equal, this indicates that the sequence is an arithmetic sequence. An arithmetic sequence is defined by having a common difference between consecutive terms.Check for Geometric Sequence: Now, let's check if the sequence could also be geometric by finding the ratios between consecutive terms. 55 / 50 = 1.1, 60 / 55 = 1.0909..., 65 / 60 = 1.0833... The ratios between consecutive terms are not equal.Confirm Not Geometric Sequence: Since the sequence does not have a common ratio, it is not a geometric sequence. A geometric sequence is defined by having a common ratio between consecutive terms.

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What kind of sequence is this? $\newline$ $50, 55, 60, 65, \dots$ $\newline$ 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

50, 55, 60, 65, \dots

\newline

Choices:

\newline

(A) arithmetic

\newline

(B) geometric

\newline

\newline

(D) neither

Verify Consecutive Differences: Let's verify if the differences between consecutive terms are uniform. Given sequence: $50, 55, 60, 65, \ldots$ $\newline$ Are the consecutive differences in the sequence equal? $\newline$ $55 - 50 = 5$ , $60 - 55 = 5$ , $65 - 60 = 5$ . $\newline$ The consecutive differences in the sequence are equal.
Identify Arithmetic Sequence: Since the consecutive differences are equal, this indicates that the sequence is an arithmetic sequence. An arithmetic sequence is defined by having a common difference between consecutive terms.
Check for Geometric Sequence: Now, let's check if the sequence could also be geometric by finding the ratios between consecutive terms. $\newline$ $\frac{55}{50} = 1.1$ , $\frac{60}{55} = 1.0909\dots$ , $\frac{65}{60} = 1.0833\dots$ $\newline$ The ratios between consecutive terms are not equal.
Confirm Not Geometric Sequence: Since the sequence does not have a common ratio, it is not a geometric sequence. A geometric sequence is defined by having a common ratio between consecutive terms.