What kind of sequence is this? 182, 162, 142, 122, ... Choices: (A)arithmetic (B)geometric (C)both (D)neither

Identify Pattern: To determine the type of sequence, we need to look at the pattern of the numbers. Let's find the difference between consecutive terms. Difference between the first and second term: 162 - 182 = -20Calculate Differences: Now, let's check the difference between the second and third term: 142 - 162 = -20Check Consistency: Next, we'll check the difference between the third and fourth term: 122 - 142 = -20Determine Sequence Type: Since the difference between each pair of consecutive terms is constant (-20), this indicates that the sequence is an arithmetic sequence.

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What kind of sequence is this? $\newline$ $182, 162, 142, 122, \dots$ $\newline$ 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

182, 162, 142, 122, \dots

\newline

Choices:

\newline

(A) arithmetic

\newline

(B) geometric

\newline

\newline

(D) neither

Identify Pattern: To determine the type of sequence, we need to look at the pattern of the numbers. Let's find the difference between consecutive terms. $\newline$ Difference between the first and second term: $162 - 182 = -20$
Calculate Differences: Now, let's check the difference between the second and third term: $142 - 162 = -20$
Check Consistency: Next, we'll check the difference between the third and fourth term: $122 - 142 = -20$
Determine Sequence Type: Since the difference between each pair of consecutive terms is constant $(-20$ ), this indicates that the sequence is an arithmetic sequence.