What kind of sequence is this? 148, 135, 122, 109, ... Choices: (A)arithmetic (B)geometric (C)both (D)neither

Check Differences: To determine the type of sequence, we need to look at the pattern of the numbers. Let's check the difference between consecutive terms. Difference between the first and second term: 135 - 148 = -13 Difference between the second and third term: 122 - 135 = -13 Difference between the third and fourth term: 109 - 122 = -13Constant Difference: Since the difference between consecutive terms is constant, this indicates that the sequence is an arithmetic sequence.Arithmetic Sequence: An arithmetic sequence is defined by a constant difference between terms, which we have established as -13. This is not a geometric sequence because the ratio between terms is not constant.Correct Choice: Therefore, the correct choice is (A) arithmetic.

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What kind of sequence is this? $\newline$ $148, 135, 122, 109, \dots$ $\newline$ Choices: $\newline$ (A) arithmetic $\newline$ (B) geometric $\newline$ (C) both $\newline$ (D) neither

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Precalculus

Identify arithmetic and geometric series

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Q. What kind of sequence is this?

\newline

148, 135, 122, 109, \dots

\newline

Choices:

\newline

(A) arithmetic

\newline

(B) geometric

\newline

\newline

(D) neither

Check Differences: To determine the type of sequence, we need to look at the pattern of the numbers. Let's check the difference between consecutive terms. $\newline$ Difference between the first and second term: $135 - 148 = -13$ $\newline$ Difference between the second and third term: $122 - 135 = -13$ $\newline$ Difference between the third and fourth term: $109 - 122 = -13$
Constant Difference: Since the difference between consecutive terms is constant, this indicates that the sequence is an arithmetic sequence.
Arithmetic Sequence: An arithmetic sequence is defined by a constant difference between terms, which we have established as $-13$ . This is not a geometric sequence because the ratio between terms is not constant.
Correct Choice: Therefore, the correct choice is $(A)$ arithmetic.