Find the nth, or general, term.x, 1, , . . .

A. 2-n 
B. xn
C. x2-n 
D. xn-1 


Answer: C

Mathematics

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Solve the problem.The floor plan of a building is shown in the figure below. Is it possible to start in one of the rooms of the building, walk through each door exactly once, and end up in a different room from the one you started in? (Consider the outside a "room".) Justify your answer.

What will be an ideal response?

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Solve the initial value problem.x' = Ax, x(0) = , where A = 

A. x(t) = e-2t

B. x(t) = e2t

C. x(t) = e-2t

D. x(t) = e2t

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Find the focus and the directrix of the parabola.(y + 4)2 = 12(x - 3)

A. Focus: (0, -4); directrix: x = 6 B. Focus: (6, -4) ; directrix: x = 0 C. Focus: (0, 4); directrix: x = -6 D. Focus: (-1, 3); directrix: x = -7

Mathematics

Solve the equation. Don't forget to first simplify each side of the equation, if possible.4(4x + 3) - 22 = 13x - 1

A. 9 B. 3 C. 27 D. -3

Mathematics