Use the formula for the sum of the first n terms of a geometric sequence to solve.Find the sum of the first five terms of the geometric sequence: 3, 12, 48, . . . .
A. 323
B. 63
C. 341
D. 1023
Answer: D
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Evaluate the improper integral.
A. 
B. 
C. 
D. 
Find a formula for the nth term of the sequence.0, 2, 2, 2, 0, 2, 2, 2 (0, 2, 2, 2 repeated)
A. an = 1 + (-1)n(n-1)/2 B. an = 1 + (-1)n(n+1)(n+2)/6 C. an = 1 + (-1)n(n+1)/2 D. an = 1 + (-1)(n+1)(n + 2)/2
Solve the problem.Suppose you would like to cross a 223-foot wide river in a boat. Assume that the boat can travel 31 mph relative to the water and that the current is flowing west at the rate of 6 mph. What bearing should be chosen so that the boat will land at a point exactly across from its starting point? Give your answer to the nearest tenth of a degree.
A. 8.9° B. 78.8° C. 7.4° D. 11.2°
Provide an appropriate response.If an ellipse has vertices at (-6, 0), (6, 0), (0, 3), and (0, -3), what is its domain? What is its range?
A. Domain: [-6, 3]; Range: [-3, 6] B. Domain: [0, 6]; Range: [0, 3] C. Domain: [-6, 6]; Range: [-3, 3] D. Domain: [-3, 3]; Range: [-6, 6]