Home / Expert Answers / Calculus / write-an-explicit-formula-for-the-sequence-a-n-1-3-2-5-3-7-4-9-dots-does-the-sequ-pa395

(Solved): Write an explicit formula for the sequence a_(n)=(1)/(3),(2)/(5),(3)/(7),(4)/(9),dots. Does the sequ ...



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.

student submitted image, transcription available below


We have an Answer from Expert

View Expert Answer

Expert Answer


We have an Answer from Expert

Buy This Answer $5

Place Order

We Provide Services Across The Globe