Which pattern shows a quadratic relationship?

9514 1404 393

  Pattern B

Step-by-step explanation:

A quadratic relationship is characterized by constant second differences.

Pattern A

Sequence: 0, 2, 4, 6

First Differences: 2, 2, 2 . . . . constant indicates a 1st-degree (linear, arithmetic) sequence

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Pattern B

Sequence: 1, 2, 5, 10

First Differences: 1, 3, 5

Second Differences: 2, 2 . . . . constant indicates a 2nd-degree (quadratic) sequence

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Pattern C

Sequence: 1, 3, 9, 27

First Differences: 2, 6, 18

Second Differences: 4, 12 . . . . each set of differences has a common ratio, indicating an exponential (geometric) sequence

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Pattern B shows a geometric relationship between step number and dot count.

answer: check all that apply, where the options?

step-by-step explanation: