What kind of sequence is this? 143, 126, 109, 92, ... 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 first and second term: 126 - 143 = -17Calculate Differences: Now, let's check the difference between the second and third term: 109 - 126 = -17Check Consistency: Next, we check the difference between the third and fourth term: 92 - 109 = -17Determine Sequence Type: Since the difference between each pair of consecutive terms is the same (-17), this indicates that the sequence is an arithmetic sequence.

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What kind of sequence is this? $\newline$ $143, 126, 109, 92, \dots$ $\newline$ Choices: $\newline$ (A) arithmetic $\newline$ (B) geometric $\newline$ (C) both $\newline$ (D) neither

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Math Problems

Grade 7

Identify arithmetic and geometric sequences

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Q. What kind of sequence is this?

\newline

143, 126, 109, 92, \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 first and second term: $126 - 143 = -17$
Calculate Differences: Now, let's check the difference between the second and third term: $109 - 126 = -17$
Check Consistency: Next, we check the difference between the third and fourth term: $92 - 109 = -17$
Determine Sequence Type: Since the difference between each pair of consecutive terms is the same $(-17$ ), this indicates that the sequence is an arithmetic sequence.