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While sorting some change into piggy banks, Marco put 11 coin in the first piggy bank, 66 coins in the second piggy bank, 3030 coins in the third piggy bank, and 120120 coins in the fourth piggy bank. What kind of sequence is this?\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither

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Q. While sorting some change into piggy banks, Marco put 11 coin in the first piggy bank, 66 coins in the second piggy bank, 3030 coins in the third piggy bank, and 120120 coins in the fourth piggy bank. What kind of sequence is this?\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither
  1. Input Sequence: Marco put coins into piggy banks in the following order:\newlineFirst piggy bank: 11 coin\newlineSecond piggy bank: 66 coins\newlineThird piggy bank: 3030 coins\newlineFourth piggy bank: 120120 coins\newlineLet's list the number of coins in the given order.\newlineSequence: 1,6,30,1201, 6, 30, 120
  2. Check Differences: 1,6,30,1201, 6, 30, 120\newlineAre the differences between consecutive terms equal?\newline6−1=56 - 1 = 5\newline30−6=2430 - 6 = 24\newline120−30=90120 - 30 = 90\newlineThe differences are not the same, so this is not an arithmetic sequence.
  3. Check Ratios: 1,6,30,1201, 6, 30, 120\newlineAre the consecutive ratios of the sequence equal?\newline61=6\frac{6}{1} = 6\newline306=5\frac{30}{6} = 5\newline12030=4\frac{120}{30} = 4\newlineThe ratios are not the same, so this is not a geometric sequence.
  4. Sequence Analysis: The sequence has:\newlineno common difference.\newlineno common ratio.\newlineWhat type of sequence is 1,6,30,1201, 6, 30, 120?\newlineSince the sequence does not have a constant difference or ratio, it is neither arithmetic nor geometric.

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