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Myra ran 44 laps on Tuesday, 99 laps on Wednesday, 1616 laps on Thursday, and 2525 laps on Friday. What kind of sequence is this?\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither

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Q. Myra ran 44 laps on Tuesday, 99 laps on Wednesday, 1616 laps on Thursday, and 2525 laps on Friday. What kind of sequence is this?\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither
  1. Identify Sequence: Identify the sequence of the number of laps Myra ran each day.\newlineTuesday: 44 laps\newlineWednesday: 99 laps\newlineThursday: 1616 laps\newlineFriday: 2525 laps\newlineSequence: 4,9,16,254, 9, 16, 25
  2. Check Arithmetic: Check if the sequence is arithmetic by finding the differences between consecutive terms.\newline9−4=59 - 4 = 5\newline16−9=716 - 9 = 7\newline25−16=925 - 16 = 9\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.\newline94≈2.25\frac{9}{4} \approx 2.25\newline169≈1.78\frac{16}{9} \approx 1.78\newline2516≈1.56\frac{25}{16} \approx 1.56\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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