What Do You Know About The Successor Function?

Reviewed by Editorial Team
The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.
Learn about Our Editorial Process
| By AdeKoju
A
AdeKoju
Community Contributor
Quizzes Created: 129 | Total Attempts: 42,271
| Attempts: 160
SettingsSettings
Please wait...
  • 1/10 Questions

    How do we denote the successor function?

    • Sn = n + 1
    • Sn = n - 1
    • Sn = n * 1
    • Sn = n/1
Please wait...
About This Quiz

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.

What Do You Know About The Successor Function? - Quiz

Quiz Preview

  • 2. 
    What does S(20) equal to? - ProProfs

    What does S(20) equal to?

    • 18

    • 20

    • 21

    • 25

    Correct Answer
    A. 21
    Explanation
    S(20) refers to the sum of the digits of the number 20. The digits of 20 are 2 and 0. Adding these digits together gives us a sum of 2 + 0 = 2. Therefore, S(20) equals 2.

    Rate this question:

  • 3. 
    What does S(1) equal to?  - ProProfs

    What does S(1) equal to? 

    • 0

    • 1

    • 2

    • -1

    Correct Answer
    A. 2
    Explanation
    S(1) equals 2 because it is the second option in the list of possible answers.

    Rate this question:

  • 4. 
    What does S(5) equal to? - ProProfs

    What does S(5) equal to?

    • 6

    • 4

    • 5

    • 3

    Correct Answer
    A. 6
    Explanation
    The correct answer is 6 because the question is asking for the value of S(5), and based on the given options, 6 is the only value that matches the given options.

    Rate this question:

  • 5. 
    What does S(10) equal to? - ProProfs

    What does S(10) equal to?

    • 9

    • 10

    • 5

    • 11

    Correct Answer
    A. 11
  • 6. 
    What is another name for the successor function? - ProProfs

    What is another name for the successor function?

    • Implementation

    • Zeration

    • Zeroth functions

    • Geometric functions

    Correct Answer
    A. Zeration
    Explanation
    The correct answer is "Zeration". In mathematics, the successor function is a function that maps a number to its immediate successor. It is commonly denoted as S(n), where n is a number. Another name for this function is "Zeration".

    Rate this question:

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

    Which kind of functions is the successor function used for?

    • Recurrence function

    • Recursive function

    • Reorganized function

    • Inordinate function

    Correct Answer
    A. Recursive function
    Explanation
    The successor function is used in recursive functions. Recursive functions are functions that call themselves within their own definition. The successor function is often used in recursive functions to define the base case and the recursive step. It allows the function to progress towards a desired outcome by incrementing or decrementing a value in each recursive call. Therefore, the correct answer is recursive function.

    Rate this question:

  • 8. 
    In which of these axioms do we apply the successor function?  - ProProfs

    In which of these axioms do we apply the successor function? 

    • Peano axioms

    • Richardson axioms

    • Patt axioms

    • Corolla axioms

    Correct Answer
    A. Peano axioms
    Explanation
    The successor function is applied in the Peano axioms. These axioms are a set of statements that define the properties of the natural numbers. One of the axioms states that every natural number has a successor, which is obtained by applying the successor function. This function takes a natural number and produces the next natural number in the sequence. Therefore, the Peano axioms are the only set of axioms mentioned that involve the use of the successor function.

    Rate this question:

  • 9. 
     n stands for?  - ProProfs

     n stands for? 

    • Real number

    • Whole number

    • Integer

    • Natural number

    Correct Answer
    A. Natural number
    Explanation
    The correct answer is "Natural number". In mathematics, n is often used to represent an unknown or variable quantity. In this context, n stands for a natural number, which includes all positive integers starting from 1. Natural numbers do not include zero or negative numbers.

    Rate this question:

  • 10. 
    How do we define the successor function in the context of zeroth hyperoperation? - ProProfs

    How do we define the successor function in the context of zeroth hyperoperation?

    • H0 (a, b) = 1 + a

    • H0 (a, b) = 1 + b

    • H1 (a, b) = a + b

    • H2 (a, b) = a * b

    Correct Answer
    A. H0 (a, b) = 1 + b
    Explanation
    The successor function in the context of zeroth hyperoperation is defined as adding 1 to the second input (b) and keeping the first input (a) the same. This means that the result of H0 (a, b) is obtained by adding 1 to b.

    Rate this question:

Quiz Review Timeline (Updated): Mar 19, 2023 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Mar 19, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Jun 17, 2018
    Quiz Created by
    AdeKoju
Back to Top Back to top
Advertisement
×

Wait!
Here's an interesting quiz for you.

We have other quizzes matching your interest.