java code for this

On a piano, a key has a frequency, say f$0.$ Each higher key $($black or white$)$ has a frequency of f$0*$ rn$,$ where n is the distance $($number of keys$)$ from that key, and r is $2(1/12).$ Given an initial key frequency, output that frequency and the next $4$ higher key frequencies.

Output each floating$-$point value with two digits after the decimal point.

Ex: If the input is:

$440\mathrm{.}0$

$($which is the A key near the middle of a piano keyboard$),$ the output is:

$440\mathrm{.}00466\mathrm{.}16493\mathrm{.}88523\mathrm{.}25554\mathrm{.}37$