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1.
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Select the first five terms of the sequence defined
recursively. Use the pattern to write the nth term of the sequence as a function of n.
(Assume that n begins with 1.)
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2.
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A deposit of $ 1000 is made in an account that
earns 6 % interest compounded monthly. The balance in the account after n months is given
by
Find the balance in the account after 12 years by finding the 144th term of
the sequence. Round to the nearest penny.
a. | $ 4,406,001.07 | b. | $ 2040.55 | c. | $ 2050.75 | d. | $ 144,720.00 | e. | $ 2061.00 |
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3.
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Write the first five terms of the sequence.
Determine whether the sequence is arithmetic. If so, find the common difference. (Assume that
n begins with 1.)
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4.
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Find the sum of the finite arithmetic
sequence.
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5.
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Find the partial sum.
a. | 60,500 | b. | 60,702 | c. | 59,501 | d. | 60,099 | e. | 60,100 |
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6.
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Use a graphing utility to graph the first 10 terms
of the sequence. (Assume that n begins with 1.) You may need to adjust the graphing
window to the sizes indicated below to answer the question.
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7.
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Find the first five terms of the geometric
sequence.
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8.
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Find the sum of the finite geometric sequence.
Round to the nearest thousandth.
a. | 1673.451 | b. | 2123.654 | c. | 1723.654 | d. | 1886.839 | e. | 2187.364 |
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9.
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Find the sum using the formulas for the sums of
powers of integers.
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10.
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Use mathematical induction to solve for all
positive integers n.
A factor of  is:
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11.
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Calculate the binomial coefficient.
a. | 716 | b. | 715 | c. | 717 | d. | 718 | e. | 713 |
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12.
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Evaluate using Pascal’s Triangle.
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13.
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Expand the binomial by using Pascal’s
Triangle to determine the coefficients.
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14.
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Find the coefficient a of the term in the
expansion of the binomial.
a. | 183 | b. | 179 | c. | 181 | d. | 180 | e. | 178 |
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15.
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Find the coefficient a of the term in the
expansion of the binomial.
a. | –6,300,001 | b. | –6,300,002 | c. | –6,299,999 | d. | –6,300,000 | e. | –6,299,997 |
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16.
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Use the Binomial Theorem to expand and simplify the
expression.
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17.
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Evaluate  using the formula from this
section.
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18.
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Solve for n.
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19.
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The figure shows the results of a survey in which
auto racing fans listed their favorite type of racing. What is the probability that an auto racing
fan selected at random lists NASCAR racing as his or her favorite type of racing? 
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20.
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