What Do You Know About The Successor Function?

10 Questions | Total Attempts: 105

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What Do You Know About The Successor Function?

In the science of structure, order, and relation otherwise known as mathematics, the successor function is a primitive recursive function S in a way that S(n) = n+1 for n, each natural number. The successor function is also known as the successor operation and in the context of a zeroth hyperoperation, it is called zeration.


Questions and Answers
  • 1. 
    How do we denote the successor function?
    • A. 

      Sn = n + 1

    • B. 

      Sn = n - 1

    • C. 

      Sn = n * 1

    • D. 

      Sn = n/1

  • 2. 
    What does S(1) equal to? 
    • A. 

      0

    • B. 

      1

    • C. 

      2

    • D. 

      -1

  • 3. 
    What does S(5) equal to?
    • A. 

      6

    • B. 

      4

    • C. 

      5

    • D. 

      3

  • 4. 
    What does S(10) equal to?
    • A. 

      9

    • B. 

      10

    • C. 

      5

    • D. 

      11

  • 5. 
    What does S(20) equal to?
    • A. 

      18

    • B. 

      20

    • C. 

      21

    • D. 

      25

  • 6. 
    What is another name for the successor function?
    • A. 

      Implementation

    • B. 

      Zeration

    • C. 

      Zeroth functions

    • D. 

      Geometric functions

  • 7. 
    Which kind of functions is the successor function used for?
    • A. 

      Recurrence function

    • B. 

      Recursive function

    • C. 

      Reorganized function

    • D. 

      Inordinate function

  • 8. 
    How do we define the successor function in the context of zeroth hyperoperation?
    • A. 

      H0 (a, b) = 1 + a

    • B. 

      H0 (a, b) = 1 + b

    • C. 

      H1 (a, b) = a + b

    • D. 

      H2 (a, b) = a * b

  • 9. 
    In which of these axioms do we apply the successor function? 
    • A. 

      Peano axioms

    • B. 

      Richardson axioms

    • C. 

      Patt axioms

    • D. 

      Corolla axioms

  • 10. 
     n stands for? 
    • A. 

      Real number

    • B. 

      Whole number

    • C. 

      Integer

    • D. 

      Natural number