Enter pentagonal number statement


  

Calculate pentagonal number 10

Pentagonal Number Formula

Pn  =  n(3n - 1)
  2

Given n = 10, we have:

P10  =  10(3(10) - 1)
  2

P10  =  10(30 - 1)
  2

P10  =  10(29)
  2

P10  =  290
  2

P10 = 145


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What is the Answer?
P10 = 145
How does the Pentagonal Number Calculator work?
Free Pentagonal Number Calculator - This calculator determines the nth pentagonal number
This calculator has 1 input.

What 1 formula is used for the Pentagonal Number Calculator?

Pn = n(3n - 1)/2

For more math formulas, check out our Formula Dossier

What 5 concepts are covered in the Pentagonal Number Calculator?

figurate number
a number that can be represented by a regular geometrical arrangement of equally spaced points. If the arrangement forms a regular polygon, the number is called a polygonal.
formula
a fact or a rule written with mathematical symbols. A concise way of expressing information symbolically.
number
an arithmetical value, expressed by a word, symbol, or figure, representing a particular quantity and used in counting and making calculations and for showing order in a series or for identification. A quantity or amount.
pentagon
a polygon of five angles and five sides
pentagonal number
A number that can be shown as a pentagonal pattern of dots.
n(3n - 1)/2
Example calculations for the Pentagonal Number Calculator
  1. 30th Pentagonal number
  2. 45th Pentagonal number

Pentagonal Number Calculator Video


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