Use mathematical induction to prove the statement is true for all positive integers n. 8 + 16 + 24 + … + 8n = 4n(n + 1) (8 points)  

(04.03 MC)  The probability that Barry Bonds hits a home run on any given at-bat is 0.16, and each at-bat is independent. Part A: What is the probability that the next home run will be on his fifth at-bat? (5 points) Part B: What is the expected number of at-bats until the next home run? (5 points) (10 points)

An auditorium has 15 rows with 10 seats in the first row, 12 in the second row, 14 in the third row, and so forth. How many seats are in the auditorium? (7 points)

List the 5 health components of physical fitness.  Of those which two are YOU most in need of training?  Explain WHY?  

Why 0K is called the absolute zero?

Write the sum using summation notation, assuming the suggested pattern continues. -8 – 3 + 2 + 7 + … + 67 (7 points)

Solve the triangle. A = 21°, C = 105°, c = 5 (5 points)

Determine whether the sequence converges or diverges. If it converges, give the limit. 108, -18, 3, , …  (7 points)

(06.07 MC)  Data collected on the discharge of the Colorado River and speed are given in the table:   Discharge (ft3) Speed 1.3 2.3 2.2 0.99 5.8 3.5 11 5 12 16 14 22 16 27 21 14 49 33 Find r2, and interpret the results. (4 points)

Find the sum of the arithmetic sequence. 3, 5, 7, 9, …, 21 (7 points)