Hint: Draw a number line to help you expand n-factorial.
Question 2
2.
Use Pascal's Triangle to expand (2x - 3y)3.
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.
Use the Binomial Theroem to expand (x + 4y)5.
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 coefficient of the expression is nC0 .
Question 4
4.
Determine the 8th term in the expansion of (2a + 5b)11.
Question 5
5.
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 6
6.
What is the tenth term in the Geometric sequence?
Hint: an = a1(r)n-1
Question 7
7.
Determine the nth term of the sequence.
Hint: an= a1(r)n-1
Question 8
8.
Determine whether the sequence is convergent or divergent. Explain.
Question 9
9.
Determine whether the sequence is convergent or divergent. Explain.