2. Consider the infinite series defined byΣ Infinity sign on top and n= 1 on bottom (4n/ 11^n+1)

(a) What is the value of r from the ratio test (2 points)? Have your final answer as a simplified fraction.

(b) What does this r value tell you about the series (1 point)?

3. Use the binomial theorem to answer this question for: (4x³-2/5y²)
(a) Show the summation notation equation to express this expansion
n
Σ n!/k!(n-k)! x ^n-kyk =
k=0
(b) Using the equation you wrote in part a, use it to determine the third term of this expansion Have the coefficient in your final answer written as a simplified fraction.