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Test Your Knowledge

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Questions and Answers

What is a recursive definition for a geometric sequence?

  • The ratio between successive terms is constant (correct)
  • The sum of the first n terms is a polynomial of degree n
  • Every term is a multiple of the previous term
  • The difference between successive terms is constant

    • What is a recursive definition for an arithmetic sequence?

  • The sum of the first n terms is a polynomial of degree n
  • The difference between successive terms is constant (correct)
  • Every term is a multiple of the previous term
  • The ratio between successive terms is constant

    • If a sequence starts with a1 instead of a0, how can you find the term that would have been a0?

  • Multiply a1 by 2
  • Divide a1 by 2
  • Add 1 to a1
  • Subtract 1 from a1 (correct)

    • What type of sequence is the given sequence?

    <p>Neither</p> Signup and view all the answers

    What is the formula for the sum of the first n positive integers?

    <p>n(n+1)</p> Signup and view all the answers

    What is the sequence of partial sums of the sequence 1, 2, 3, 4, 5, ...?

    <p>1, 3, 6, 10, 15, ...</p> Signup and view all the answers

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