1:20 4 A Week 12 - Tel... 3. Consider the following geometric series: 6 36 216 1296 7776 + 25 + 125 + 625 + 3125 15625 + ... i) Find a formula for the nth term, assuming the pattern continues. ii) Write the series in standard form and provide the values for a and r. iii) Does this geometric series converge? If it does converge, find its sum. 4. Consider the following geometric series: + 27 81 243 729 3 16 64 + 256 + 1024 ... i) Find a formula for the nth term, assuming the pattern continues. ii) Write the series in standard form and provide the values for a and r. ii) Does this geometric series converge? If it does converge, find its sum. N 5. Determine whether the series converges by expressing the partial sum sk as a telescoping series. If it does converge, find its sum. 5 Dashboard Calendar To Do Notifications Inbox1:20 4 A Week 12 - Tel... 3 6. Determine whether the series converges by expressing the partial sum sk as a telescoping series. If it does converge, find its sum. 10 n (n + 2) (Hint: Use partial fractions before expanding Sk) A 5 OF O= V Dashboard Calendar To Do Notifications Inbox1220 4