Write an explicit formula for the sequence
a_(n)=(1)/(3),(2)/(5),(3)/(7),(4)/(9),dots
. Does the sequence converge or diverge? Why? (5 pts) Given the series
\sum_(k=1)^(\infty ) (81)/((-3)^(k))
, find
S_(4)
(the sum of the first 4 terms) and then give an upper bound for the "remainder" or error between
S_(4)
and S , the sum of the infinite series. ( 5 pts) BONUS (2 pts): Calculate the exact error.