Consider the following series.[infinity]1n6n = 1(a) Use the sum of the first 10 terms to estimate the sum of the given series. (Round the answer to four decimal places.)s10 = (b) Using the Remainder Estimate for the Integral Test, find a value of n that will ensure that the error in the approximation s ≈ sn is less than 0.0000001.n > −18n > 11 n > 6n > 0n > 18

Suppose that 3% of all athletes are using the endurance-enhancing hormone epo (you should be able to simply compute the percentage of all athletes that are not using epo). for our purposes, a “positive” test result is one that indicates presence of epo in an athlete’s bloodstream. the probability of a positive result, given the presence of epo is .99. the probability of a negative result, when epo is not present, is .90. what is the probability that a randomly selected athlete tests positive for epo? 0.0297