62 lines
1.9 KiB
C++
62 lines
1.9 KiB
C++
// Lab 5 - summation.cpp
|
|
// This program displays a series of terms and computes its sum.
|
|
// Llewellyn van der Merwe
|
|
#include <iostream>
|
|
#include <cmath>
|
|
using namespace std;
|
|
|
|
int main()
|
|
{
|
|
// print out my name only once
|
|
cout << "Llewellyn. \n";
|
|
// Add do again option
|
|
char doAgain = 'y';
|
|
while (doAgain == 'Y' || doAgain == 'y')
|
|
{
|
|
int denom, // Denominator of a particular term
|
|
term = 1, // Term counter
|
|
finalTerm = 6; // The final term
|
|
|
|
double sum = 0.0; // Accumulator that adds up all terms in the series
|
|
// get the final term
|
|
while (true)
|
|
{
|
|
cout << "Give us the number of terms: ";
|
|
cin >> finalTerm;
|
|
if(cin.fail() || finalTerm < 2 || finalTerm > 10) {
|
|
cin.clear(); cin.ignore();
|
|
cout << "\nMust be a number from 2 to 10" << endl;
|
|
} else break;
|
|
}
|
|
|
|
// WRITE THE CODE TO START A FOR LOOP THAT LOOPS ONCE FOR EACH TERM.
|
|
// I.E., FOR TERMS WITH DENOMINATORS FROM 2 TO THE FINAL DENOMINATOR.
|
|
while (term <= finalTerm)
|
|
{
|
|
// calculate the denom
|
|
denom = pow(2, term);
|
|
// WRITE THE CODE TO PRINT THIS TERM.
|
|
cout << "1/" << denom;
|
|
|
|
if (finalTerm == term){
|
|
// IF IT IS THE LAST TERM, FOLLOW IT WITH A =.
|
|
cout << " = ";
|
|
} else {
|
|
// IF IT IS NOT THE LAST TERM, FOLLOW IT WITH A +.
|
|
cout << " + ";
|
|
}
|
|
// WRITE THE CODE TO ADD THE VALUE OF THIS TERM TO THE ACCUMULATOR.
|
|
sum += (double) 1 / denom;
|
|
// increment the term counter
|
|
term++;
|
|
}
|
|
|
|
// WRITE A LINE OF CODE TO PRINT THE SUM.
|
|
cout << sum;
|
|
// check if we are done
|
|
cout << "\n\nDo you want to compute another series? (y/n) ";
|
|
cin >> doAgain;
|
|
}
|
|
|
|
return 0;
|
|
} |