Gr 10 Math Ch 3: Describing Sequences
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Questions and Answers

What is the term used to describe an individual item in a sequence?

  • Term (correct)
  • Factor
  • Element
  • Value

    • Which of the following represents the general formula for a linear sequence?

  • T_n = c/n
  • T_n = n^2 + c
  • T_n = d^2 + n
  • T_n = dn + c (correct)

    • How is the common difference in a sequence defined?

  • The average of all terms
  • The difference between any term and the previous term (correct)
  • The product of the first and second terms
  • The sum of all terms

    • What does the variable 'd' represent in the formula T_n = dn + c?

    <p>The common difference</p> Signup and view all the answers

    Which statement about linear sequences is correct?

    <p>Linear sequences are characterized by a constant common difference.</p> Signup and view all the answers

    If the first term of a sequence is 2 and the common difference is 3, what is the fifth term?

    <p>15</p> Signup and view all the answers

    If the third term of a linear sequence is 11 and the common difference is 2, what is the first term?

    <p>5</p> Signup and view all the answers

    Which of the following formulas would NOT describe a linear sequence?

    <p>T_n = n^2 + 1</p> Signup and view all the answers

    What is the common difference if the first term is 5 and the fourth term is 20 in a linear sequence?

    <p>5</p> Signup and view all the answers

    In a sequence defined by T_n = 3n + 4, what is the value of T_2?

    <p>10</p> Signup and view all the answers

    If the common difference of a linear sequence is negative, what effect does it have on the sequence?

    <p>The sequence will always decrease.</p> Signup and view all the answers

    What can be concluded if the common difference 'd' in a sequence is zero?

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

    If a linear sequence has a first term of 7 and a common difference of -2, what is the equation for the n-th term of that sequence?

    <p>T_n = 7 - 2n</p> Signup and view all the answers

    In a linear sequence where the 4th term is 16 and the common difference is 3, what is the formula for the sequence?

    <p>T_n = 3n + 13</p> Signup and view all the answers

    Given the sequence defined by the formula T_n = 5n - 4, what is the 10th term in the sequence?

    <p>46</p> Signup and view all the answers

    What is the common difference in the sequence defined by T_n = 7 - 4(n - 1)?

    <p>-4</p> Signup and view all the answers

    A linear sequence is defined such that T_1 = 10 and T_6 = 10. What can be inferred about the common difference?

    <p>The common difference is zero.</p> Signup and view all the answers

    If the 2nd term of a linear sequence is 5 and the common difference is d = -1, what is the 5th term?

    <p>2</p> Signup and view all the answers

    If the general formula of a sequence is given by $T_n = 4n - 3$, what is the common difference?

    <p>4</p> Signup and view all the answers

    In a linear sequence where the first term is 8 and the fifth term is 24, what is the common difference?

    <p>4</p> Signup and view all the answers

    If a sequence is defined by the formula $T_n = 2n + 7$, which term equals 15?

    <p>4</p> Signup and view all the answers

    Given the sequence defined by $T_n = -2n + 5$, what is the 10th term in the sequence?

    <p>-15</p> Signup and view all the answers

    What is the fourth term in a linear sequence defined by $T_n = 3n - 1$?

    <p>9</p> Signup and view all the answers

    For a sequence with a first term of 5, third term of 11, and sixth term of 20, what is the common difference?

    <p>4</p> Signup and view all the answers

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