4. (10 pts) a. Does the following series (i.e. the sum) converge, diverge, or we cannot say one way or another (inconclusive) using the "Nth term test"? n2+5n+10 2n=173+2n2+5n (similar to 10.2 #40) b. Use another test and see if you come to the same conclusion about the series as with the "Nth term test". 5. (10 pts) (similar to 10.3 #12) An infinite series of spheres is stacked on top of each other as shown in the diagram below. Find the total volume when the volumes of all the spheres are added together. O ... r=1/16 r=1/8 1=1/4 1=1/2 6. (10 pts) Represent the repeating decimal 0.99999 . . . as a geometric series and find its sum. (similar to 10.3 #18-19)