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Trisha is picking berries in the berry patch. She picks 77 berries from the first bush, 2828 berries from the second bush, 112112 berries from the third bush, and 448448 berries from the fourth bush. What kind of sequence is this?\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither

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Q. Trisha is picking berries in the berry patch. She picks 77 berries from the first bush, 2828 berries from the second bush, 112112 berries from the third bush, and 448448 berries from the fourth bush. What kind of sequence is this?\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither
  1. Identify Pattern: Identify the pattern in the sequence of numbers representing the berries picked from each bush. Trisha picks 77 berries from the first bush, 2828 berries from the second bush, 112112 berries from the third bush, and 448448 berries from the fourth bush. We need to determine if there is a common difference (arithmetic sequence) or a common ratio (geometric sequence) between the terms.
  2. Check Common Difference: Check for a common difference by subtracting each term from the subsequent term.\newline287=2128 - 7 = 21\newline11228=84112 - 28 = 84\newline448112=336448 - 112 = 336\newlineThe differences are not constant, so this is not an arithmetic sequence.
  3. Check Common Ratio: Check for a common ratio by dividing each term by the previous term.\newline28÷7=428 \div 7 = 4\newline112÷28=4112 \div 28 = 4\newline448÷112=4448 \div 112 = 4\newlineThe ratio is constant, so this is a geometric sequence.

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