Answered

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8. A computer application generates a sequence of musical notes using the function f(n) 6(16)", where n is the

number of the note in the sequence and f(n) is the note frequency in hertz. Which function will generate the same

note sequence as fon)?

A g(n) = 12(2)

B. H(n) – 6(2) n

C. P(n) = 12(4)2n

Dk(n) = 6(8)an

Sagot :

Applying an exponential property, it is found that the function that will generate the same note sequence as function f(n) is given by:

B. [tex]H(n) = 6(2)^{4n}[/tex]

What is function for the note sequence?

The function for the node sequence is defined by:

[tex]f(n) = 6(16)^n[/tex]

A function that will the same note sequence as function f(n) has the same initial value of 6. Additionally, applying an exponential property, we have that:

[tex]H(n) = 6(2)^{4n} = 6(2^4)^n = 6(16)^n[/tex]

Hence option B is correct.

More can be learned about exponential properties at https://brainly.com/question/25537936

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