Quiz 6 - Take Home

1. Let  be a sequence and  Prove: If  then 

2.     a.  Show that  by using Mathematical Induction. Then \underline{use this} to determine if the series   converges by explicitly considering the sequence of partial sums (that is, do not apply any of the series tests).

 
2. Determine if  converges by applying appropriate theorems (i.e., series tests) from the textbook.