1.   Find the 29th term in the arithmetic sequence -9, -4, 1, 6, ... .
    A. 131 B. 126
    C. 121 D. 136
    Hint

  2.   Find n for a series for which a1 = 9, d = 4.5, and Sn = 40.5.
    A. 5 B. 4
    C. 3 D. 6
    Hint

  3.   Write a sequence that has two geometric means between 7 and 448.
    A. 7, 26, 110, 448 B. 7, 28, 112, 448
    C. 7, 29, 113, 448 D. 7, 30, 144, 448
    Hint

  4.   Write the general term of the series .
    A. B.
    C. D.
    Hint

  5.   Use Pascal's triangle or the Binomial Theorem to expand (-x + 3y)3.
    A. -x3 + 9x2y - 27xy2 + 27y3
    B. x3 - 3x2y + 3xy2 -y3
    C. x3 - 9x2y + 27xy2 -27y3
    D. -x3 + 3x2y - 3xy2 + y3
    Hint

  6.   Use the first three terms of the trigonometric series to approximate the value of to four decimal places.
    A. -0.4665 B. 0.0408
    C. 0.0200 D. 1.9800
    Hint

  7.   Find the first four iterates of the function f(x) = x3 if the initial value is
x0 = -1.
    A. -1, -1, -1, -1 B. -1, 1, -1, 1
    C. 1, -1, 1, -1 D. 1, 1, 1, 1
    Hint

  8.   For the equation 6 + 8 + 10 + ··· + (4 + 2n) = n(n + 5), which statement assumes that Sn is valid for n = k?
    A. 6 + 8 + 10 + ··· + (4 + 2k) = k(k + 5)
    B. 6 + 8 + 10 + ··· + (6 + 2k) = k(k + 5)
    C. 6 + 8 + 10 + ··· + (6 + 2k) = (k + 1)(k + 6)
    D. 6 + 8 + 10 + ··· + (8 + 2k) = (k + 1)(k + 6)
    Hint

  9.   Which of the following is not true about mathematical induction?
    A. It can be used to prove .
    B. Since Sn is valid for n = 1, it is valid for n = 2. Since it is valid for
n = 2, it is valid for n = 3, and so on, indefinitely.
    C. The first possible case is always n = 1.
    D. Mathematical induction depends on a recursive process.
    Hint

  10.   Find the sum of the first seven terms of the geometric series Round to the nearest hundredth.
    A. 18 B. 11.56
    C. 17.33 D. 3.24
    Hint

  11.   Find the sum of the series
    A. B. The sum does not exist.
    C. 24 D. 18
    Hint

  12.   Write as a fraction.
    A. B.
    C. D.
    Hint

  13.   Write the general term of the series
    A. B.
    C. D.
    Hint

  14.   Find the sum .
    A. 12 B. 8
    C. 0 D. The sum does not exist.
    Hint

  15.   Write the series in sigma notation.
    A. B.
    C. D.
    Hint

  16.   Use Pascal's Triangle or the Binomial Theorem to expand
(3x - 2y)5.
    A.
    B.
    C.
    D.
    Hint

  17.   Find ln (-2.89) to four decimal places.
    A. + 0.6366 B. - 0.6366
    C. + 1.0613 D. - 1.0613
    Hint

  18.   Find the first two iterates of the function f (z) = z2 + 5, if the initial value is 1 - I.
    A. 35 - 12I, 1456 - 960I
    B. 7, 54
    C. 5 - 2I, 26 - 20I
    D. -2I, -4
    Hint



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