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What kind of sequence is this?\newline2,3,5,8,…2, 3, 5, 8, \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

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Q. What kind of sequence is this?\newline2,3,5,8,…2, 3, 5, 8, \dots\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither
  1. Identify Given Sequence: Identify the given sequence and list the terms in order.Sequence:2,3,5,8,…Sequence: 2, 3, 5, 8, \ldots
  2. Check Arithmetic: Check if the sequence is arithmetic by finding the differences between consecutive terms.\newline3−2=13 - 2 = 1\newline5−3=25 - 3 = 2\newline8−5=38 - 5 = 3\newlineThe differences are not constant, so the sequence is not arithmetic.
  3. Check Geometric: Check if the sequence is geometric by finding the ratios between consecutive terms.\newline32=1.5\frac{3}{2} = 1.5\newline53≈1.67\frac{5}{3} \approx 1.67\newline85=1.6\frac{8}{5} = 1.6\newlineThe ratios are not constant, so the sequence is not geometric.
  4. Determine Sequence Type: Since the sequence has neither a constant difference nor a constant ratio, determine the type of sequence.\newlineThe sequence is neither arithmetic nor geometric.

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