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Recursive sequences Quiz: printable

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Recursive sequences Quiz

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10 questions. Calculator allowed. Show your working. steplyclass.com/algebra-2/recursive-sequences/quiz/

  1. 1

    a_1 = 3, a_n = a_(n-1) + 4, find the first 5 terms

    Answer: ____________________

  2. 2

    a_1 = 2, a_n = 3a_(n-1), find the first 5 terms

    Answer: ____________________

  3. 3

    a_1 = 1, a_n = 2a_(n-1) + 1, find the first 5 terms

    Answer: ____________________

  4. 4

    a_1 = 4, a_n = 2a_(n-1), find a_5

    Answer: ____________________

  5. 5

    a_1 = 64, a_n = a_(n-1) − 9, find the first 4 terms

    Answer: ____________________

  6. 6

    a_1 = 3, a_n = 2a_(n-1) + 1, find the first 5 terms

    Answer: ____________________

  7. 7

    a_1 = −1, a_n = 2a_(n-1) + 5, find the first 5 terms

    Answer: ____________________

  8. 8

    a_1 = 4, a_n = −2a_(n-1), find a_6

    Answer: ____________________

  9. 9

    a_1 = 5, a_n = a_(n-1) + 4, write the explicit rule. Find a_n.

    Answer: ____________________

  10. 10

    a_1 = 3, a_n = 2a_(n-1), write the explicit rule. Find a_n.

    Answer: ____________________

Answer key

  1. 3, 7, 11, 15, 19
  2. 2, 6, 18, 54, 162
  3. 1, 3, 7, 15, 31
  4. 64
  5. 64, 55, 46, 37
  6. 3, 7, 15, 31, 63
  7. −1, 3, 11, 27, 59
  8. −128
  9. a_n = 4n + 1
  10. a_n = 3 × 2n − 1

Every answer solved step by step: steplyclass.com/algebra-2/recursive-sequences/quiz/answers/