Chapter 14 Test
1) Find the next three terms of the sequence 11, 26, 41, 56,
71, … and find its general term .
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2) Find the sum .
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3) Find the first five terms of the arithmetic sequence
whose first term is and whose common difference is .
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4) Find the general term, ,
of the given arithmetic sequence .
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5) Find the fifteenth partial sum, ,
of the arithmetic sequence .
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6) Find the sum of the first 200 positive even integers.
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7) Find the first five terms of the geometric sequence whose
first term is and whose common ratio is .
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8) Find the general term, ,
of the geometric sequence 4, 28, 196, 1372, … .
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9) Find the tenth partial sum, ,
of the geometric sequence 3, 15, 75, 375, … .
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10) For the geometric sequence , does the infinite series have a limit? If
so, find that limit.
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11) Jonah’s parents have decided to start a college fund for
him. On Jonah’s first birthday, his parents deposit $2500 in the fund. On each
birthday after that, they increase the amount they deposit by $500.
a) Write a sequence showing the amounts that Jonah’s parents
deposit on his first six birthdays.
b) Find the general term, ,
for the amount deposited on Jonah’s nth
birthday.
c) What is the total amount deposited in the fund for
Jonah’s first 18 birthdays?
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12) A new car valued at $18,000 decreases in value by 25%
each year.
a) W rite a geometric sequence showing the value of the car
at the end of each of the first 4 years after it was purchased.
b) Find the general term, ,
for the value of the car n years
after it was purchased.
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13) Evaluate the binomial coefficient .
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Expand using the binomial theorem.
14)
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Expand using the binomial theorem and Pascal’s triangle.
15)
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