Lesson Worksheet: The Binomial Theorem Mathematics
In this worksheet, we will practice using Pascal's triangle to find the coefficients of expansion of (a+b)n and using the binomial theorem to find the expansion of (a+b)n.
Q1:
What is the middle term in the following expansion:
- A
- B
- C
- D
Q2:
Find the middle term in the expansion of .
- A
- B
- C
- D
Q3:
In the expansion of according to the descending powers of , if the value of the fourth term is 4โโโ320, find the value of .
- A3
- B
- C
- D27
- E18
Q4:
In the expansion of according to the descending powers of , find the fourth term.
- A
- B
- C
- D
- E
Q5:
In the expansion of according to the descending powers of , find the second term from the end.
- A
- B
- C
- D
- E
Q6:
Use Pascalโs triangle to expand the expression .
- A
- B
- C
- D
- E
Q7:
Use Pascalโs triangle to expand the expression .
- A
- B
- C
- D
- E
Q8:
Use Pascalโs triangle to expand the expression .
- A
- B
- C
- D
- E
Q9:
Use the binomial expansion to find the first three terms of in ascending powers of .
- A
- B
- C
- D
- E
Q10:
Use the binomial theorem to expand .
- A
- B
- C
- D
- E
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