What kind of sequence is this? 60, 41, 22, 3, ... 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: 60, 41, 22, 3, ... Are the consecutive differences in the sequence equal? 41 - 60 = -19, 22 - 41 = -19, 3 - 22 = -19. 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. There is no need to check for a common ratio as in a geometric sequence because the presence of a common difference confirms it is arithmetic.

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What kind of sequence is this? $\newline$ $60, 41, 22, 3, \dots$ $\newline$ 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

60, 41, 22, 3, \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: $60, 41, 22, 3, \ldots$ Are the consecutive differences in the sequence equal? $\newline$ $41 - 60 = -19$ , $\newline$ $22 - 41 = -19$ , $\newline$ $3 - 22 = -19$ . $\newline$ 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. There is no need to check for a common ratio as in a geometric sequence because the presence of a common difference confirms it is arithmetic.