Analyzing a Relationship in a Table

\begin{tabular}{|c|c|}
\hline
Beat\# & Note Frequency [tex]$(Hz)$[/tex] \\
\hline
2 & 261.6 \\
\hline
3 & 392.0 \\
\hline
4 & 392.0 \\
\hline
5 & 444.0 \\
\hline
6 & 444.0 \\
\hline
7 & 392.0 \\
\hline
\end{tabular}

Use the information from the table to describe the relationship between the musical frequency of notes and the beats in a tune.

The musical frequency of notes is decreasing between beat numbers [tex]$\square$[/tex] and [tex]$\square$[/tex].



Answer :

To analyze the relationship between the musical frequency of notes and the beats in the provided table, let's carefully examine the given frequencies at each beat:

[tex]\[ \begin{array}{|c|c|} \hline \text{Beat\#} & \text{Note Frequency (Hz)} \\ \hline 2 & 261.6 \\ \hline 3 & 392.0 \\ \hline 4 & 392.0 \\ \hline 5 & 444.0 \\ \hline 6 & 444.0 \\ \hline 7 & 392.0 \\ \hline \end{array} \][/tex]

We need to identify the beat intervals where the frequency of the note decreases from one beat to the next. Let's go through the table step by step:

1. From Beat 2 to Beat 3:
- [tex]\(261.6\)[/tex] Hz to [tex]\(392.0\)[/tex] Hz: The frequency increases.

2. From Beat 3 to Beat 4:
- [tex]\(392.0\)[/tex] Hz to [tex]\(392.0\)[/tex] Hz: The frequency remains the same.

3. From Beat 4 to Beat 5:
- [tex]\(392.0\)[/tex] Hz to [tex]\(444.0\)[/tex] Hz: The frequency increases.

4. From Beat 5 to Beat 6:
- [tex]\(444.0\)[/tex] Hz to [tex]\(444.0\)[/tex] Hz: The frequency remains the same.

5. From Beat 6 to Beat 7:
- [tex]\(444.0\)[/tex] Hz to [tex]\(392.0\)[/tex] Hz: The frequency decreases.

By examining the changes at each step, we can conclude that the musical frequency of notes is decreasing between beat numbers [tex]\(\boxed{6}\)[/tex] and [tex]\(\boxed{7}\)[/tex].