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What kind of sequence is this?\newline182,162,142,122,…182, 162, 142, 122, \dots \newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither

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Full solution

Q. What kind of sequence is this?\newline182,162,142,122,…182, 162, 142, 122, \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 the first and second term: 162−182=−20162 - 182 = -20
  2. Calculate Differences: Now, let's check the difference between the second and third term: 142−162=−20142 - 162 = -20
  3. Check Consistency: Next, we'll check the difference between the third and fourth term: 122−142=−20122 - 142 = -20
  4. Determine Sequence Type: Since the difference between each pair of consecutive terms is constant (−20(-20), this indicates that the sequence is an arithmetic sequence.

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