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What kind of sequence is this?\newline143,126,109,92,…143, 126, 109, 92, \dots\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither

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Identify arithmetic and geometric sequencesright chevron icon

Full solution

Q. What kind of sequence is this?\newline143,126,109,92,…143, 126, 109, 92, \dots\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither
  1. 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.\newlineDifference between first and second term: 126−143=−17126 - 143 = -17
  2. Calculate Differences: Now, let's check the difference between the second and third term: 109−126=−17109 - 126 = -17
  3. Check Consistency: Next, we check the difference between the third and fourth term: 92−109=−1792 - 109 = -17
  4. Determine Sequence Type: Since the difference between each pair of consecutive terms is the same (−17(-17), this indicates that the sequence is an arithmetic sequence.

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