Calculate pentagonal number 45

Pentagonal Number Formula

Pn  =  n(3n - 1)
  2

Given n = 45, we have:

P45  =  45(3(45) - 1)
  2

P45  =  45(135 - 1)
  2

P45  =  45(134)
  2

P45  =  6030
  2


P45 = 3,015


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What is the Answer?
P45 = 3,015
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
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
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