Trisha is picking berries in the berry patch. She picks 7 berries from the first bush, 28 berries from the second bush, 112 berries from the third bush, and 448 berries from the fourth bush. What kind of sequence is this? Choices: (A)arithmetic (B)geometric (C)both (D)neither

Question

Trisha is picking berries in the berry patch. She picks 7 berries from the first bush, 28 berries from the second bush, 112 berries from the third bush, and 448 berries from the fourth bush. What kind of sequence is this?     Choices: (A)arithmetic (B)geometric (C)both (D)neither

Bytelearn · Accepted Answer

Identify Pattern: Identify the pattern in the sequence of numbers representing the berries picked from each bush. Trisha picks 7 berries from the first bush, 28 berries from the second bush, 112 berries from the third bush, and 448 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.Check Common Difference: Check for a common difference by subtracting each term from the subsequent term. 28 - 7 = 21 112 - 28 = 84 448 - 112 = 336 The differences are not constant, so this is not an arithmetic sequence.Check Common Ratio: Check for a common ratio by dividing each term by the previous term. 28 ÷ 7 = 4 112 ÷ 28 = 4 448 ÷ 112 = 4 The ratio is constant, so this is a geometric sequence.

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