Question

How to solve this problem? (the answer is 262 Hz). i want to know the step by step on how to solve the equation given. if it helps, i am a grade 10 student. (YES, This is a math question)

Answer 1

262 Hz

Explanation:

We have the following formula to determine the frequency:

`F=440\cdot\mleft(\sqrt[12]{2}\mright)^n`

According to the statement we can determine that the value of n is equal to -9 (below the concert pitch), therefore we replace and calculate the frequency:

`\begin{gathered} F=440\cdot\mleft(\sqrt[12]{2}\mright)^(-9) \\ F=440\cdot(1.05946)^(-9) \\ F=440\cdot0.5946 \\ F=261.63\cong262\text{ Hz} \end{gathered}`

Therefore the frequency of middle C is 262 Hz