What Do You Know About The Centered Polygonal Numbers?

10 Questions | Total Attempts: 112

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What Do You Know About The Centered Polygonal Numbers?

The centered polygonal numbers can be referred to as a class or series of figurate numbers. Each of these numbers is formed by a central dot, which is usually surrounded by a polygonal layer and has a constant number of sides. Number arrangement using this method can be made into a series of shapes and they include triangle, squares, pentagons and so on. This quiz will help you learn more about the centered polygon numbers.


Questions and Answers
  • 1. 
    Where did arranging numbers into regular shapes like squares originate from? 
    • A. 

      Ancient Rome

    • B. 

      Italy

    • C. 

      Greece

    • D. 

      Egypt

  • 2. 
    What is the dimension of the centered polygonal numbers? 
    • A. 

      Two dimensions

    • B. 

      Three dimensions

    • C. 

      Four dimensions

    • D. 

      Five dimensions

  • 3. 
    In the centered polygonal numbers, the sequence follows a pattern; which is the pattern? 
    • A. 

      Multiple of the triangular number plus 3

    • B. 

      Multiple of the triangular number plus 4

    • C. 

      Multiple of the triangular number plus 1

    • D. 

      Multiple of the tetragonal number plus 1

  • 4. 
    In triangular numbers, which of these sequences is correct? 
    • A. 

      1, 4, 10, 19...

    • B. 

      3, 6, 9, 12...

    • C. 

      1, 3, 6, 12...

    • D. 

      1, 3, 6, 10...

  • 5. 
    How are the polygons in the centered polygon numbers are usually drawn?
    • A. 

      Centered about a point within the polygon

    • B. 

      At the polygon vertex

    • C. 

      Outside the polygon

    • D. 

      Anywhere inside the polygon

  • 6. 
    How do we write the formula for representing the centered K-gonal number?
    • A. 

      C_(k,n=kn/2(n-1)+1)

    • B. 

      C_(k,n=kn/2(n+1)+1)

    • C. 

      C_(k,n=kn/2(n-1)+1k)

    • D. 

      C_(k,n=kn/2 (n-1)-1)

  • 7. 
    A particular category of numbers is predominant in the centered polygonal numbers. Which of the following is this category? 
    • A. 

      Odd numbers

    • B. 

      Prime numbers

    • C. 

      Even numbers

    • D. 

      Whole numbers

  • 8. 
    In square numbers, what is the sequence? 
    • A. 

      4, 8, 16, 32...

    • B. 

      4, 16, 64, 256...

    • C. 

      1, 5, 13, 25...

    • D. 

      1, 5, 9, 13...

  • 9. 
    What is the formula to calculate a centered decagonal? 
    • A. 

      3n (n+1) - 4

    • B. 

      5n (n+1) - 1

    • C. 

      5n (n+1) + 1

    • D. 

      10n (n-1) + 1

  • 10. 
    Who proved the polynomial number theorem? 
    • A. 

      Joseph LaGrange

    • B. 

      Fermat

    • C. 

      Bermoulli

    • D. 

      Berno Cauchy

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