(Calculating ?) Calculate the value of ? from the infinite series Print a table that shows the approximate value of ? after each of the first 1000 terms of this series.

Question

What will be an ideal response?

Answer 1

```
// Approximate value for pi.
#include
#include // parameterized stream manipulators
using namespace std;

int main()
{
long double pi = 0.0; // approximated value for pi
long double denom = 1.0; // denominator of current term
long accuracy = 1000; // number of terms

// set floating-point number format
cout << fixed << setprecision( 8 );

// display table headers
cout << "Accuracy set at: " << accuracy << "\n\nterm\t\tpi\n";

// loop through each term
for ( long loop = 1; loop <= accuracy; loop++ )
{
if ( loop % 2 != 0 ) // if odd-numbered term, add current term
pi += 4.0 / denom;
else // if even-numbered term, subtract current term
pi -= 4.0 / denom;

// display number of terms and
// approximated value for pi with 8 digits of precision
cout << loop << "\t\t" << pi << '\n';

denom += 2.0; // update denominator
} // end for

cout << endl;
} // end main
```