Question

Write a full C++ program Assignment4_SequenceSum that prints terms of the following mathematical sequence:

                               ( also written as   )

      Your program should accept a real number from the user representing a limit, and should add and print terms of the sequence until the sum of terms meets or exceeds that limit. For example, if your user enters 2.0, program prints terms until the sum of those terms is at ≥ 2.0. You should round your answer to 3 digits past the decimal point

      The following is the output from the program execution when 2.0 is entered by the user (2.0);

1 + 1/2 + 1/3 + 1/4 = 2.083

      (Despite the fact that the terms keep getting smaller, the sequence can actually produce an arbitrarily large sum if enough terms are added.) If your program reads a value less than 1.0, no output should be produced. You must match the output format shown exactly; note the spaces and pluses separating neighboring terms. Other sample calls:

Input	0.0	1.0	1.5
Output		1 = 1.000	1 + 1/2 = 1.500

Input	2.7
Output	1         + 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + 1/8 = 2.718

Answer 1

#include <iostream>
#include <iomanip>

using namespace std;


int main() {
        
        double input;
        cout << "Enter an input: ";
        cin >> input;

        if(input >= 1) {
                double val = 1;
                int i = 1;

                cout << "1 ";
                while(val < input) {
                        i += 1;
                        val += (1.0 / i);
                        cout << "+ 1/" << i << " ";
                }

                cout << fixed << setprecision(3);
                cout << "= " << val << endl;
        }


        return 0;
}

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