A sequence b1, b2, b3, . . . satisfies the recurrence relation bk = 2bk?1 +8bk?2 with initial conditions b1 = 1 and b2 = 0. Find an explicit formula for the sequence.

What will be an ideal response?


Mathematics

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Identify the type of surface represented by the given equation. y2 + z2 = 2 

A.

Paraboloid

B.
Parabolic cylinder

C.
Ellipsoid

D.
Cylinder

Mathematics

Solve.The textbook for a history class costs $35. There are 31 students in the class. Find the total cost of the history books for the class.

A. $1085 B. $66 C. $1054 D. $1050

Mathematics

Using the Law of Cosines, find angle C if a = 10, b = 20, and c = 15.

a. 46.6ø b. 43.4ø c. 133.5ø d. 86.8ø e. 66.7ø

Mathematics

Solve the problem.If (-7, 5) is the endpoint of a line segment, and (-10, 6) is its midpoint, find the other endpoint.

A. (-1, 3) B. (-13, 7) C. (-13, 4) D. (-5, -1)

Mathematics