rendered paste body// based on Dimport java.lang.Math;public final class partialsums{ public static void main(String[] args){ double n = Integer.parseInt(args[0]) + 1, alt = 1; double sum0=0, sum1=0, sum2=0, sum3=0, sum4=0, sum5=0, sum6=0, sum7=0, sum8=0; for(double d = 1; d < n; d++, alt = -alt) { double d2 = d * d, d3 = d2 * d; double ds = Math.sin(d), dc = Math.cos(d); sum0 += Math.pow(2 / 3d,d - 1); sum1 += 1 / Math.sqrt(d); sum2 += 1 / (d * (d + 1)); // Flint Hills sum3 += 1 / (d3 * ds * ds); // Cookson Hills sum4 += 1 / (d3 * dc * dc); // Harmonic sum5 += 1 / d; // Riemann Zeta sum6 += 1 / (d2); // Alternating Harmonic sum7 += alt / d; // Gregory sum8 += alt / (2 * d - 1); } System.out.printf("%.9f\t(2/3)^k\n", sum0); System.out.printf("%.9f\tk^-0.5\n", sum1); System.out.printf("%.9f\t1/k(k+1)\n", sum2); System.out.printf("%.9f\tFlint Hills\n", sum3); System.out.printf("%.9f\tCookson Hills\n", sum4); System.out.printf("%.9f\tHarmonic\n", sum5); System.out.printf("%.9f\tRiemann Zeta\n", sum6); System.out.printf("%.9f\tAlternating Harmonic\n", sum7); System.out.printf("%.9f\tGregory\n", sum8);}}