2. Determine whether the infinite series 5n-3n +4 2n +7n-1 converges or diverges. n=1 3. Rewrite the geometric series using the sigma notation and calculate the value of the sum. 3 9 27 1+ + + 81 + +.... 5 25 125 625 4. Represent the repeating decimal as a series using the sigma notation. Solution with no sufficient detail will not receive credit. 0.432432432432... 5. Find all values of x for which the geometric series converges and find its sum. (+1)* k=0 6. Calculate the value of the partial sum for S4 and S5, find a formula for general partial sum Sn, and then find the limit of sn as n approaches infinity. 00 1 1 k=1 k+2 k+1