# Volume of Unit Hypersphere/Sequence

The sequence of volumes of the unit sphere in $n$-dimensional space begins as follows:
 $\displaystyle n = 1$ $:$ $\displaystyle \map V 1 = 2$ $\displaystyle n = 2$ $:$ $\displaystyle \map V 2 = 3.1$ $\displaystyle n = 3$ $:$ $\displaystyle \map V 3 = 4.2$ $\displaystyle n = 4$ $:$ $\displaystyle \map V 4 = 4.9$ $\displaystyle n = 5$ $:$ $\displaystyle \map V 5 = 5.264$ $\displaystyle n = 6$ $:$ $\displaystyle \map V 6 = 5.2$ $\displaystyle n = 7$ $:$ $\displaystyle \map V 7 = 4.7$