Question

CODE IN JAVA to be typed in Eclipse

The sum of the infinite series: f(r) = 1 + r + r4 r3+ is equal to 1/r), if Irl <1 Calculate the sum of the infinite series up to N terms and verify that the result is more accurate as we take more terms in the infinite series. For example, if r = 0.5, then the sum of the infinite series is 2. Check the value of f(r) when you take 5 terms and 15 terms in the expansion

Answer 1

CODE

public class Main {

public static double infiniteSum(double r, int N) {

double sum = 0;

for (int i=0; i<N; i++) {

sum += Math.pow(r, i);

}

return sum;

}

public static void main(String[] args) {

System.out.println("Sum of 5 terms = " + infiniteSum(0.5, 5));

System.out.println("Sum of 15 terms = " + infiniteSum(0.5, 15));

}

}