You have earned 5 point(s) out of 5 point(s) thus far.Which of the following statements are true for a quadratic pattern? The pattern has a constant ratio between consecutive terms.The pattern has a constant second level difference between consecutive terms.None of the options given are true.The pattern has a constant difference between consecutive terms.
Question
You have earned 5 point(s) out of 5 point(s) thus far.Which of the following statements are true for a quadratic pattern? The pattern has a constant ratio between consecutive terms.The pattern has a constant second level difference between consecutive terms.None of the options given are true.The pattern has a constant difference between consecutive terms.
Solution
The statement that is true for a quadratic pattern is: "The pattern has a constant second level difference between consecutive terms."
Here's why:
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"The pattern has a constant ratio between consecutive terms." - This is not true for a quadratic pattern. This is true for a geometric sequence, not a quadratic pattern.
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"The pattern has a constant second level difference between consecutive terms." - This is true for a quadratic pattern. In a quadratic sequence, the second differences (the differences between the differences) are constant.
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"None of the options given are true." - This is not true because the second statement is true for a quadratic pattern.
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"The pattern has a constant difference between consecutive terms." - This is not true for a quadratic pattern. This is true for an arithmetic sequence, not a quadratic pattern.
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