Concept explainers
Musical Frequencies The frequencies of musical notes (measured in cycles per second) form a geometric sequence. Middle C has a frequency of 256, and the C that is an octave higher has a frequency of 512. Find the frequency of C two octaves below middle C.
To find: The frequency of C two octaves below middle C.
Answer to Problem 76E
The frequency of C two octaves below middle C is 64.
Explanation of Solution
Given:
The frequencies of musical notes forms geometric sequence. Middle C has 256 and C that is an octave higher has 512.
Calculation:
The
Therefore, the sequence forms from the given statement is,
The formula to calculate common ratio of a G. P. is,
Substitute 512 for
To find the frequency of C two octaves below middle C,
Divide 256 by 2 two times,
Therefore, the frequency of C two octaves below middle C is 64.
Chapter 12 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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