Question

*6.14 (Estimate $\pi$) $\pi$ can be computed using the following series: $m(i) = 4\left(1 - \frac{1}{3} + \frac{1}{5} - \frac{1}{7} + \frac{1}{9} - \frac{1}{11} + \dots + \frac{(-1)^{i+1}}{2i - 1}\right)$ Write a function that returns $m(i)$ for a given $i$ and write a test program that displays the following table: $\begin{array}{|c|c|} \hline i & m(i) \\ \hline 1 & 4.0000 \\ 101 & 3.1515 \\ 201 & 3.1466 \\ 301 & 3.1449 \\ 401 & 3.1441 \\ 501 & 3.1436 \\ 601 & 3.1433 \\ 701 & 3.1430 \\ 801 & 3.1428 \\ 901 & 3.1427 \\ \hline \end{array}$

          *6.14 (Estimate $\pi$) $\pi$ can be computed using the following series:
$m(i) = 4\left(1 - \frac{1}{3} + \frac{1}{5} - \frac{1}{7} + \frac{1}{9} - \frac{1}{11} + \dots + \frac{(-1)^{i+1}}{2i - 1}\right)$
Write a function that returns $m(i)$ for a given $i$ and write a test program that displays the following table:
$\begin{array}{|c|c|}
\hline
i & m(i) \\
\hline
1 & 4.0000 \\
101 & 3.1515 \\
201 & 3.1466 \\
301 & 3.1449 \\
401 & 3.1441 \\
501 & 3.1436 \\
601 & 3.1433 \\
701 & 3.1430 \\
801 & 3.1428 \\
901 & 3.1427 \\
\hline
\end{array}$

*6.14 (Estimate π) π can be computed using the following series:
m(i) = 4(1 - (1)/(3) + (1)/(5) - (1)/(7) + (1)/(9) - (1)/(11) + … + ((-1)^i+1)/(2i - 1))
Write a function that returns m(i) for a given i and write a test program that displays the following table:
i m(i)

1 4.0000

101 3.1515

201 3.1466

301 3.1449

401 3.1441

501 3.1436

601 3.1433

701 3.1430

801 3.1428

901 3.1427

Added by Tasha T.

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