3k + 1 Question: Consider the series 3k (a) Write the series in expanded notation. 99 3* + 1 (b) Find the sum S 100 =) 3k - of its first 100 terms (i.e., the 100-th partial sum), and then find *= 0 an exact formula for the N-th partial sum for any whole number N. Hint: The two formulas should match when N = 100. S 100 = Exact Formula: (c) Use the exact formula to determine if the series converges or diverges directly from the limit definition, without using any tests of convergence/diveregence. If it converges, find the value it converges to