(1 point) Sequences of Partial Sums. Part 1. Compute the first four terms of the sequence of partial sums for the series: ∑n=1[infinity](12)n−1 S1= S2= S3= S4= Note: answers should be simplified and should not contain decimals. Part 2. Find a formula for the nth partial sum, Sn, that depends only on n. Sn= Part 3. Evaluate the following limit to determine whether the given series converges or diverges. limn→[infinity]Sn= Therefore, the series . Note: type either 'converges' or 'diverges' in the last blank.