Arithmetic and Geometric Progressions Quiz
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Questions and Answers

What is the common difference in the arithmetic progression 3, 6, 9, 12?

  • 3 (correct)
  • 1
  • 4
  • 2

    • Which of the following sequences is a geometric progression?

  • 7, 14, 21, 28
  • 5, 10, 15, 20
  • 2, 4, 8, 16 (correct)
  • 1, 2, 3, 4

    • What is the formula for the nth term of an arithmetic progression?

  • a + n - d
  • a + (n - 1)d (correct)
  • n * d + a
  • a + (n + 1)d

    • If the first term in an arithmetic series is 2 and the common difference is 5, what is the 5th term?

    <p>17</p> Signup and view all the answers

    In the geometric progression 3, 9, 27, 81, what is the common ratio?

    <p>3</p> Signup and view all the answers

    What represents the sum of the first n terms of an arithmetic series?

    <p>[2a + (n - 1)d] / 2</p> Signup and view all the answers

    What is the difference between a sequence and a series?

    <p>A sequence is a set, while a series is an expression of addition.</p> Signup and view all the answers

    What is the first term of the geometric progression defined by a = 4 and r = 2?

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

    For the arithmetic progression 7, 11, 15, what is the common difference?

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

    How many terms are there in the series 2 + 4 + 6 + ... + 20, assuming the series continues to 20?

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

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