Questions and Answers
What is the defining characteristic of a quadratic sequence?
The second difference between any two consecutive terms is constant.
What is the general form of the nth term of a quadratic sequence?
Tn = an^2 + bn + c
How can you determine the values of a, b, and c in a quadratic sequence?
By solving simultaneous equations derived from the first few terms
What is the first difference in a quadratic sequence?
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What can be said about the second differences in a quadratic sequence?
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What is the purpose of finding the first difference in a quadratic sequence?
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If a quadratic sequence has the terms 2, 5, 10, and 17, what can be said about the sequence?
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What is the advantage of knowing the general term of a quadratic sequence?
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How many terms of a quadratic sequence are needed to determine the values of a, b, and c?
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What is the relationship between the general term of a quadratic sequence and the values of a, b, and c?
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If a quadratic sequence has the terms 3, 6, 11, and 18, what is the value of the second term in the sequence when the first term is 5?
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Which of the following is a condition for a sequence to be quadratic?
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If the nth term of a quadratic sequence is given by $T_n = an^2 + bn + c$, what can be said about the coefficients a, b, and c?
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What is the purpose of finding the general term of a quadratic sequence?
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If a quadratic sequence has the terms 1, 4, 9, and 16, what can be said about the sequence?
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