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Chapter 9 Practice Quest

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Last updated almost 2 years ago
13 questions
Note from the author:
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Show your work on paper copy of review.
Show your work on paper copy of review.
Question 1
1.

Question 2
2.

Use Pascal's Triangle or the Binomial Theorem to expand (5x +y)4.

Hint: For grading purposes, write your answer as a simplified polynomial expression with x decreasing in power and y increasing in power. Remember that the first row of Pascal's triangle is n = 0.

Question 3
3.

Question 4
4.

State the first five terms of the sequence defined recursively.
Note: For grading purposed, your answer should be entered as sequence of numbers: a1, a2, a3, a4, a5

Question 5
5.

State the first five terms of the sequence defined explicitly.

Note: For grading purposed, your answer should be entered as sequence of numbers: a1, a2, a3, a4, a5

Question 6
6.

Question 7
7.

Given:
Determine the nth term of the arithmetic sequence.

Question 8
8.

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Question 9
9.

Express the series using sigma notation.
Note: Use k as the index variable.

Question 10
10.

Question 11
11.

Question 12
12.

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Question 13
13.

Simplify the expression.
Hint: Draw a number line to help you expand n-factorial.
Determine the 7th term in the expansion of (5x -2y)12.
369,600,000x5y7
-369,600,000x5y7
-400,000x5y7
1,000,000x6y6
924,000,000x6y6
What is the 9th term in the sequence?
Hint: an = a1(r)n-1
768
384
216
1,536
256
Match the limit to the correct value, if it exists.
Find the sum of the first 25 terms of the sequence:
46
550
48
575
Find the sum of the first 8 terms of the series:
3280
6560
3281
6562
Match the sum to the correct value, if it exists.
Use the ratio test to determine the ratio of the series, then determine if the series is convergent or divergent.