Gr12 Mathematics: Ch 1.3 Series
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Questions and Answers

What is the definition of a series?

  • The sum of the terms of a sequence (correct)
  • The difference of the terms of a sequence
  • The product of the terms of a sequence
  • The ratio of the terms of a sequence

    • What is the notation used to represent the sum of terms in a sequence?

  • Gamma notation
  • Pi notation
  • Delta notation
  • Sigma notation (correct)

    • What is the upper bound in the general form of sigma notation?

  • i
  • n (correct)
  • m
  • T_i

    • What is the sum of the first n terms of a sequence denoted as?

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

    What type of series sums infinitely many terms of a sequence?

    <p>Infinite series</p> Signup and view all the answers

    What is the index of summation in the general form of sigma notation?

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

    What is the term of the sequence at index i in the general form of sigma notation?

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

    What is the lower bound in the general form of sigma notation?

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

    What is the main difference between a finite series and an infinite series?

    <p>The number of terms being summed</p> Signup and view all the answers

    What does the summation symbol ∑ represent?

    <p>The sum of terms in a sequence</p> Signup and view all the answers

    What is the purpose of using sigma notation?

    <p>To simplify the representation of the sum of terms</p> Signup and view all the answers

    What is the general form of sigma notation used for?

    <p>To represent the sum of terms in a sequence</p> Signup and view all the answers

    What is the relationship between a sequence and a series?

    <p>A sequence is the source of a series</p> Signup and view all the answers

    What does $S_n$ denote in a finite series?

    <p>The sum of the first n terms of a sequence</p> Signup and view all the answers

    What is the purpose of the index of summation in sigma notation?

    <p>To keep track of the terms being summed</p> Signup and view all the answers

    What is the main advantage of using sigma notation?

    <p>It simplifies the representation of the sum of terms</p> Signup and view all the answers

    What is the primary reason why sigma notation is used to represent the sum of terms in a sequence?

    <p>To provide a concise way of representing the sum</p> Signup and view all the answers

    What is the key difference between the notation for a finite series and an infinite series?

    <p>The number of terms being summed</p> Signup and view all the answers

    Which of the following is an example of a finite series?

    <p>$\sum_{i=1}^5 i^2$</p> Signup and view all the answers

    What is the purpose of the lower bound in the general form of sigma notation?

    <p>To specify the starting index of the sequence</p> Signup and view all the answers

    Which of the following is an infinite series?

    <p>$2 + 4 + 6 + \cdots$</p> Signup and view all the answers

    What is the term of the sequence being summed in the general form of sigma notation?

    <p>$T_i$</p> Signup and view all the answers

    Why is sigma notation useful when working with series?

    <p>It provides a concise way of representing the sum</p> Signup and view all the answers

    What is the relationship between a sequence and a series?

    <p>A series is the sum of the terms of a sequence</p> Signup and view all the answers

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