While sorting some change into piggy banks, Joey put 7 coins in the first piggy bank, 28 coins in the second piggy bank, 84 coins in the third piggy bank, and 168 coins in the fourth piggy bank. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
Q. While sorting some change into piggy banks, Joey put 7 coins in the first piggy bank, 28 coins in the second piggy bank, 84 coins in the third piggy bank, and 168 coins in the fourth piggy bank. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
List Coins in Order: List the number of coins Joey put into each piggy bank in the given order.Sequence: 7,28,84,168
Check Arithmetic Sequence: Check if the sequence is arithmetic by finding the differences between consecutive terms.28−7=2184−28=56168−84=84The differences between consecutive terms are not equal, so the sequence is not arithmetic.
Check Geometric Sequence: Check if the sequence is geometric by finding the ratios between consecutive terms.728=42884=384168=2The ratios between consecutive terms are not equal, so the sequence is not geometric.
Determine Sequence Type: Since the sequence has neither a common difference nor a common ratio, determine the type of sequence for 7,28,84,168. The sequence is neither arithmetic nor geometric.
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