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Gr 11 Math Term 4 Test
15 Questions
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Gr 11 Math Term 4 Test

Created by
@GreatestTiger

Questions and Answers

What is the definition of a quadratic sequence?

  • A sequence of numbers where the first difference between consecutive terms is constant.
  • A sequence of numbers where consecutive terms are quadratic.
  • A sequence of numbers where each term is a quadratic expression.
  • A sequence of numbers where the second difference between any two consecutive terms is constant. (correct)

    • What is the general form of the nth term of a quadratic sequence?

  • Tn = an^2 - bn + c
  • Tn = an + bn^2
  • Tn = an^2 + bn + c (correct)
  • Tn = an^3 + bn + c

    • How can we find the values of a, b, and c in a quadratic sequence?

  • By using the formula for the nth term of an arithmetic sequence
  • By finding the common difference between consecutive terms
  • By solving simultaneous equations derived from the general form (correct)
  • By plotting a graph of the sequence

    • What is the process of finding the first difference in a quadratic sequence?

    <p>Finding the difference between consecutive terms</p> Signup and view all the answers

    What is the characteristic of the second difference in a quadratic sequence?

    <p>It is always constant</p> Signup and view all the answers

    What is the relationship between the coefficients of the general term of a quadratic sequence and the first few terms of the sequence?

    <p>The coefficients are dependent on the first few terms and can be determined by solving simultaneous equations.</p> Signup and view all the answers

    What is the consequence of a sequence having a constant second difference?

    <p>The sequence is quadratic.</p> Signup and view all the answers

    What is the purpose of finding the first difference in a quadratic sequence?

    <p>To identify the sequence as quadratic or linear.</p> Signup and view all the answers

    What is the relationship between the general term of a quadratic sequence and the nth term of the sequence?

    <p>The general term is the formula for the nth term of the sequence.</p> Signup and view all the answers

    What is the implication of a sequence having a non-constant second difference?

    <p>The sequence is not quadratic.</p> Signup and view all the answers

    If the second difference between consecutive terms of a sequence is constant, what can be said about the sequence?

    <p>The sequence is quadratic.</p> Signup and view all the answers

    What is the reason for solving simultaneous equations to find the values of a, b, and c in a quadratic sequence?

    <p>To determine the general term of the sequence.</p> Signup and view all the answers

    What is the general term of a quadratic sequence used to represent?

    <p>The nth term of the sequence.</p> Signup and view all the answers

    What is the result of having a constant second difference in a sequence?

    <p>The sequence is quadratic.</p> Signup and view all the answers

    What is the purpose of finding the first difference in a quadratic sequence?

    <p>To determine if the sequence is quadratic.</p> Signup and view all the answers

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