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Solving recurrences Quiz: printable

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Solving recurrences Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/discrete-math/solving-recurrences/quiz/

  1. 1

    Solve a_n = 5a_(n-1), a_0 = 2

    Answer: ____________________

  2. 2

    Solve a_n = a_(n-1) + 4, a_1 = 3

    Answer: ____________________

  3. 3

    Solve a_n = 2a_(n-1), a_1 = 3

    Answer: ____________________

  4. 4

    Solve a_n = 3a_(n-1) − 4, a_0 = 5

    Answer: ____________________

  5. 5

    Solve a_n = 4a_(n-1) + 3, a_0 = 0

    Answer: ____________________

  6. 6

    Solve a_n = 2a_(n-1) + 5, a_0 = 1

    Answer: ____________________

  7. 7

    Solve a_n = 3a_(n-1) − 6, a_0 = 4

    Answer: ____________________

  8. 8

    Solve a_n = 2a_(n-1) + 1, a_1 = 1

    Answer: ____________________

  9. 9

    Solve a_n = 4a_(n-1) − 6, a_0 = 1

    Answer: ____________________

  10. 10

    Solve a_n = a_(n-1) − 5, a_1 = 0

    Answer: ____________________

Answer key

  1. a_n = 2 × 5n
  2. 4n − 1
  3. a_n = 3 × 2n − 1
  4. 3n + 1 + 2
  5. a_n = 4n − 1
  6. a_n = 6 × 2n − 5
  7. a_n = 3n + 3
  8. 2n − 1
  9. a_n = −4n + 2
  10. −5n + 5

Every answer solved step by step: steplyclass.com/discrete-math/solving-recurrences/quiz/answers/