To test the series 1 k-3 for convergence, you can use the P-test. (You could also us is the case with all series of this type.) According to the P-test: 8 1 converges k3 k=1 the P-test does not apply to 1 diverges k3 k3 Now compute 83, the partial sum consisting of the first 3 terms of 8 1