(12 pts) 10. (a) Find the infinite sum of the geometric series: 200 + 100 + 50 + 25 + 12.5 + ... 200 3 3 3 3 (b) Find the infinite sum of the geometric series: 10 100 1000 1000 (that is, the geometric series with first term a and common ratio 10 10 (6 pts) 11. Find the sum of the first 100 terms of the arithmetic sequence: 10, 15, 20, 25, 30, 35, ... (The general term is a,, = 10+ (n-1)(5) )