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On the last day of school, the first student will receive 1212 blue pens, the second student will receive 2424 blue pens, the third student will receive 4848 blue pens, and the fourth student will receive 9696 blue pens. What kind of sequence is this?\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither

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Q. On the last day of school, the first student will receive 1212 blue pens, the second student will receive 2424 blue pens, the third student will receive 4848 blue pens, and the fourth student will receive 9696 blue pens. What kind of sequence is this?\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither
  1. List Blue Pen Numbers: Step 11: List the number of blue pens each student receives.\newlineFirst student: 1212\newlineSecond student: 2424\newlineThird student: 4848\newlineFourth student: 9696\newlineSequence: 12,24,48,9612, 24, 48, 96
  2. Check Differences: Step 22: Check if the differences between consecutive terms are equal.\newline24−12=1224 - 12 = 12\newline48−24=2448 - 24 = 24\newline96−48=4896 - 48 = 48\newlineThe differences are not the same.
  3. Check Ratios: Step 33: Check if the ratios between consecutive terms are equal.\newline2412=2\frac{24}{12} = 2\newline4824=2\frac{48}{24} = 2\newline9648=2\frac{96}{48} = 2\newlineThe ratios are the same.

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