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Pentagonal number
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Mathematics
Fields of mathematics
Arithmetic
Numbers
Figurate numbers
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A
pentagonal number
is
a
figurate number
that represents
a
pentagon
. The \(
n
\)-th
pentagonal number
can be calculated using the
formula
: \[
P
(
n
) = \frac{
n
(3n -
1
)}{
2
} \] where \(
n
\) is
a
positive
integer
. The
sequence
of
pentagonal numbers
begins with
1
,
5
, 12, 22, 35, and so on.
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Figurate numbers
Numbers
Arithmetic
Fields of mathematics
Mathematics
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