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Chapter 9 Practice Quest

Last updated over 1 year ago
13 questions
Note from the author:
Show your work on paper copy of review.
Show your work on paper copy of review.
1

Simplify the expression.
Hint: Draw a number line to help you expand n-factorial.

1

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.

1

Determine the 7th term in the expansion of (5x -2y)12.

1

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

1

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

1

What is the 9th term in the sequence?
Hint: an = a1(r)n-1

1

Given:
Determine the nth term of the arithmetic sequence.

2

Match the limit to the correct value, if it exists.

Draggable itemCorresponding Item
1

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

1

Find the sum of the first 25 terms of the sequence:

1

Find the sum of the first 8 terms of the series:

2

Match the sum to the correct value, if it exists.

Draggable itemCorresponding Item
1

Use the ratio test to determine the ratio of the series, then determine if the series is convergent or divergent.