For each series, find an explicit formula for the sequence of partial sums and determine if the series converges. (a)[infinity] n=1 1 2n (b)[infinity] n=1 1 n(n + 1) (c)[infinity] n=1 log n + 1 n (In (c), log(x) refers to the natural logarithm function from calculus.)

Suppose a ball is dropped fromca height of 6ft. it bounces back up but time it bounces, it reaches only 7/10 of its pervious height. what is the total of each height that the ball reaches after 5 bounces

Marya wants to factor the polynomial 36x^3 -22x^2 - 144x.which term can she add to the polynomial that would not change its grestest common factor? check all that apply

Arestaurant gives out a scratch-off card to every customer. the probability that a customer will win a prize from a scratch-off card is 25%. design and conduct a simulation using random numbers to find the experimental probability that a customer will need more than 3 cards in order to win a prize. justify the model for your simulation, and conduct at least 10 trials.