1. Calculate the first four partial sums for each series. (-1) k k-1 a. b. k-22 .For the following series, use a sequence of partial sums to determine whether the series converges or diverges. n n=1 n +23. For each of the following series decide if the series converges or diverges (give reasons/work for your conclusion). If it converges, find its sum. a. n b. n=1\f4. Evaluate the following telescoping series or state whether the series diverges. S 21 _21/(n+1) a. n=1 E( vn - vn+1) b5. Write the repeating decimal 0.2727272727... as an infinite geometric series with proper summation notation. (hint: Identify the "a" and "r")