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While sorting some change into piggy banks, Joey put 77 coins in the first piggy bank, 2828 coins in the second piggy bank, 8484 coins in the third piggy bank, and 168168 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, Joey put 77 coins in the first piggy bank, 2828 coins in the second piggy bank, 8484 coins in the third piggy bank, and 168168 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. List Coins in Order: List the number of coins Joey put into each piggy bank in the given order.\newlineSequence: 7,28,84,1687, 28, 84, 168
  2. Check Arithmetic Sequence: Check if the sequence is arithmetic by finding the differences between consecutive terms.\newline287=2128 - 7 = 21\newline8428=5684 - 28 = 56\newline16884=84168 - 84 = 84\newlineThe differences between consecutive terms are not equal, so the sequence is not arithmetic.
  3. Check Geometric Sequence: Check if the sequence is geometric by finding the ratios between consecutive terms.\newline287=4\frac{28}{7} = 4\newline8428=3\frac{84}{28} = 3\newline16884=2\frac{168}{84} = 2\newlineThe ratios between consecutive terms are not equal, so the sequence is not geometric.
  4. Determine Sequence Type: Since the sequence has neither a common difference nor a common ratio, determine the type of sequence for 7,28,84,1687, 28, 84, 168. The sequence is neither arithmetic nor geometric.

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