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Eric is stacking cups; he put 99 plastic cups in the first stack, 1616 plastic cups in the second stack, 2525 plastic cups in the third stack, and 3636 plastic cups in the fourth stack. What kind of sequence is this?\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither

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Q. Eric is stacking cups; he put 99 plastic cups in the first stack, 1616 plastic cups in the second stack, 2525 plastic cups in the third stack, and 3636 plastic cups in the fourth stack. What kind of sequence is this?\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither
  1. Stacking Cups: Eric is stacking cups in different stacks.\newlineFirst stack: 99 cups\newlineSecond stack: 1616 cups\newlineThird stack: 2525 cups\newlineFourth stack: 3636 cups\newlineList the number of cups in each stack.\newlineSequence: 9,16,25,369, 16, 25, 36
  2. Arithmetic Check: Check if the sequence is arithmetic by finding the differences between consecutive terms.\newline16−9=716 - 9 = 7\newline25−16=925 - 16 = 9\newline36−25=1136 - 25 = 11\newlineThe differences are not the same.
  3. Geometric Check: Check if the sequence is geometric by finding the ratios between consecutive terms.\newline169≈1.78\frac{16}{9} \approx 1.78\newline2516≈1.56\frac{25}{16} \approx 1.56\newline3625=1.44\frac{36}{25} = 1.44\newlineThe ratios are not the same.

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