Question: (1] { nts) Write out and evaluate the series: (a) 2L1 (kZ-S) (b1 23:3 (-1)3k (2] fats) A company with 15 employees must assign 4.

(1] { nts) Write out and evaluate the series: (a) 2L1 (kZ-S) (b1 23:3 (-1)"3k (2] fats) A company with 15 employees must assign 4. special jobs: president, vice president, secretary, and treasurer. How many different outcomes are possible? :1! :1! Recall: \"I: = C,' : (nkk! (nk)! \" (4] (5 points) A machine in a factory which produces batteries has recently created 4-4- faulty batteries out ofa batch of 100 (a]What is the probability that the next battery produced is faulty? (b) What is the probability that the next battery is NOT faulty? (represent probabilities as reduced fractions) (5) (7 points) Expand using the binomial theorem: (2x - 3)5 (6) (6 points) (a) Find the sum of the first 11 terms of the sequence: -1,2, -4,8 ... nth Term of an Arithmetic Sequence nth Term of a Geometric Sequence an = a1 + (n - 1)d an = arn-1 Calworkshop.com Sum of the first n terms of an arithmetic sequence: n(a1 + an) Sn = - 2 (b) Find the sum of the first 32 terms of the sequence: 2, 5, 8, 11 ... Sum of the first n terms of an geometric sequence: a1(r - 1) r-1

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