Problem $13-$ Calculating the Value of $$

Calculate the value of $$ from the infinite series

$=4-\frac{4}{3}+\frac{4}{5}-\frac{4}{7}+\frac{4}{9}-\frac{4}{11}+$cdots

Print a table that shows the value of $$ approximated by one term of this series, by two terms, by three

terms, and so on$.$ How many terms of this series do you have to use before you first get $3\mathrm{.}14?3\mathrm{.}141?$

$3\mathrm{.}1415?3\mathrm{.}14159?$