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 $2(1\mathrm{.}0/12\mathrm{.}0).$ Given an initial key frequency, output that frequency and the next $4$ higher key frequencies.

Output all frequencies with five digits after the decimal point, which can be achieved as follows:

Put frequency to output with $5$ decimal places

Ex: If the input is:

$440\mathrm{.}0$

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

$440\mathrm{.}00000466\mathrm{.}16376493\mathrm{.}88330523\mathrm{.}25113554\mathrm{.}36526$

Note: Use one statement to compute r $=2(1\mathrm{.}0/12\mathrm{.}0)$ using the RaiseToPower$()$ function. Then use that r in subsequent statements that use the formula fn $=$ f$0*$ rn with n being $1,2,3,$ and finally $4.$

Interesting Fact: Floating point numbers are stored in the computer with the maximum precision the computer supports. We use floating point numbers keeping that precision for all the mathematical operations, and when we want to display the output for people, we display only the number of decimal points that people want to see. If we were displaying an amount that represented money, for example, we would display dollars and cents, that is $2$ digits after the decimal place. In this program, we are doing scientific calculations, and so we decided in this program to display $5$ digits after the decimal place.