math test 5

Decide whether the given sequence is finite or infinite.

-4, -3, -2, -1

2.1 points

Question 2


  1. Evaluate the expression.

    (10
    2)

2.1 points

Question 3


  1. Evaluate the series, if it converges.

    9 – + + . . .

2.1 points

Question 4


  1. Evaluate the sum.

2.1 points

Question 5


  1. Evaluate the sum. Round to the nearest hundredth, if necessary.

2.1 points

Question 6


  1. Evaluate the terms of the sum using the given information.

    x 1 = 4, x 2 = 1, x 3 = 0, and x 4 = -1

2.1 points

Question 7


  1. Find a general term an for the geometric sequence.

    a 1 = 3, r = 3

2.1 points

Question 8


  1. Find a rectangular equation for the plane curve defined by the parametric equations.

    x = , y = 2t + 5, for t in (0, ∞)

2.1 points

Question 9


  1. Find an equation for the conic. If the conic is a parabola, assume that the vertex is at the origin. If the conic is an ellipse or hyperbola, assume that it is centered at the origin.

    Focus at (0, -6) and e = 1

2.1 points

Question 10


  1. Find an equation for the parabola with vertex at the origin.

    Through (9, 8), opening to the right

2.1 points

Question 11


  1. Find an equation of a parabola that satisfies the given conditions.

    Vertex (3, -10), focus (3, -8)

2.1 points

Question 12


  1. Find an equation of the ellipse.

    An ellipse with center at origin, length of major axis 6 and y-intercepts

2.1 points

Question 13


  1. Find an equation of the hyperbola.

    Vertices at (0, 3), (0, -3); foci at (0, 9), (0, -9)

2.1 points

Question 14


  1. Find the center and radius of the circle.

    x 2 + y 2 + 12x – 2y = -1

2.1 points

Question 15


  1. Find the center-radius form for the circle having the given endpoints of a diameter.

    ( -3, -5) and (7, 7)

2.1 points

Question 16


  1. Find the center-radius form of the equation of the circle satisfying the given conditions.

    Center ( -10, 0), radius 1

2.1 points

Question 17


  1. Find the common difference for the arithmetic sequence.

    3, 5, 7, 9, …

2.1 points

Question 18


  1. Find the common ratio r for the given infinite geometric sequence.

    4, -12, 36, -108, 324, …

2.1 points

Question 19


  1. Find the coordinates of the vertex and the direction of opening of each parabola.

    y = (x + 2) 2 + 7

2.1 points

Question 20


  1. Find the eccentricity of the ellipse or hyperbola.

    x 2 – y 2 = 49

2.1 points

Question 21


  1. Find the first six terms of the sequence.

    a 1 = -9, a n = 5 ∙ a n-1

2.1 points

Question 22


  1. Find the sum of the arithmetic series using a formula.

    1 + 3 + 5 + … + 515

2.1 points

Question 23


  1. Find the sum of the first n terms of the following arithmetic sequence.

    a 1 = -10, d = -2; n = 4.

2.1 points

Question 24


  1. Find the sum of the geometric series.

2.1 points

Question 25


  1. Find anand a6 for the following arithmetic sequence.

    -1, 1, 3, 5, 7

2.1 points

Question 26


  1. For the given parabola, give the coordinates of the vertex, the axis, the domain, and the range.

    x = (y – 8) 2 + 6

2.1 points

Question 27


  1. Give the focus, directrix, and axis for the parabola.

    x 2 = y

2.1 points

Question 28


  1. Graph the circle if possible.

    (x – 1) 2 + (y – 3) 2 = 16