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Colette is planting flowers in her garden. She plants 1414 flowers in the first row, 2828 flowers in the second row, 5656 flowers in the third row, and 112112 flowers in the fourth row. What kind of sequence is this?\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither

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Identify arithmetic and geometric sequencesright chevron icon

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Q. Colette is planting flowers in her garden. She plants 1414 flowers in the first row, 2828 flowers in the second row, 5656 flowers in the third row, and 112112 flowers in the fourth row. What kind of sequence is this?\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither
  1. Identify pattern in sequence: Step 11: Identify the pattern in the sequence of flowers planted in each row.\newlineFirst row: 1414 flowers, Second row: 2828 flowers, Third row: 5656 flowers, Fourth row: 112112 flowers.\newlineTo find the pattern, check the ratio of consecutive terms.\newline28÷14=228 \div 14 = 2, 56÷28=256 \div 28 = 2, 112÷56=2112 \div 56 = 2.\newlineEach term is multiplied by 22 to get the next term.
  2. Determine sequence type: Step 22: Determine the type of sequence based on the pattern found in Step 11.\newlineSince each term is obtained by multiplying the previous term by a constant 22, the sequence is a geometric sequence.

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