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Question

# There are 52 white keys on a piano. The frequency produced when a key is struck is the number of vibrations per second the key's string makes.Describe the pattern in the relation.

Solution

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Answered 1 year ago
Answered 1 year ago
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Let us list down the sequence to see the pattern.

$27.5,\ 55,\ 110,\ 220,\ 440,\ 880,\ 1760$

By observing the sequence, we can see that if we multiply the previous terms into $2$ the answer will be the terms next to it.

$\underbrace{27.5,\ 55}_{\times2}\underbrace{,\ 110}_{\times2}\underbrace{,\ 220}_{\times2}\underbrace{,\ 440}_{\times2}\underbrace{,\ 880}_{\times2}\underbrace{,\ 1760}_{\times2}$

Therefore, our conjecture to the given sequence is "Multiply the previous term by $2$".

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