While organizing her DVD collection, Savannah put 2 DVDs on the first rack, 14 DVDs on the second rack, 98 DVDs on the third rack, and 686 DVDs on the fourth rack. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
Q. While organizing her DVD collection, Savannah put 2 DVDs on the first rack, 14 DVDs on the second rack, 98 DVDs on the third rack, and 686 DVDs on the fourth rack. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
Identify Sequence Type: To determine the type of sequence, we need to look at the pattern of numbers and see if there is a common difference (which would indicate an arithmetic sequence) or a common ratio (which would indicate a geometric sequence). Let's examine the given numbers: 2,14,98,686.
Check for Common Difference: First, let's check for a common difference by subtracting each term from the subsequent term: 14−2=1298−14=84686−98=588The differences are not constant, so this is not an arithmetic sequence.
Check for Common Ratio: Next, let's check for a common ratio by dividing each term by the previous term:14÷2=798÷14=7686÷98=7The ratio is constant, so this is a geometric sequence.
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