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Find the first six terms of the sequence. a1 = 1, an = 4 • an-1 (7 points)  

(06.03 MC)  Aaliyah wants to determine how age and gender are related to movie genre preference in her town. She selects a simple random sample of 35 males from the 20- to 30-year age group and records their age, gender, and movie genre preference (comedy, romance, or horror). She also selects an independent simple random sample of 45 females from the 45- to 55-year age group and records the same information. Which is the most important observation about Aaliyah’s plan? (3 points)

A certain species of tree grows an average of 4.2 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 200 centimeters tall. (8 points)

Find an equation for the nth term of the sequence. -1, -4, -16, -64, … (7 points)  

(06.06 LC)  A scientist is interested in the relationship between the number of eggs hatched per day for frogs (y) and temperature. Based on the collected data, the least-squares regression line is ŷ = 15.66 + 3.58x, where x is the number of degrees by which temperature exceeds 60 degrees Fahrenheit. Which of the following statements best describes the meaning of the slope of the least-squares regression line? (3 points)

Find an equation for the nth term of a geometric sequence where the second and fifth terms are -24 and 1536, respectively. (7 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)

Find the sum of the geometric sequence. (7 points)

Find the first six terms of the sequence. a1 = -7, an = 4 • an-1 (7 points)  

Find the limit of the function by using direct substitution.(6 points)