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Worksheet: General Term in the Binomial Theorem
Q2:
Find the value of that satisfies
Q3:
Consider the expansion of in ascending powers of . Given that the coefficient of is equal to the coefficient of , determine the value of .
Q4:
Find in the expansion of .
- A
- B
- C
- D
- E
Q5:
Find in the expansion of .
- A
- B
- C
- D
- E
Q6:
Find the third term in the expansion of .
- A
- B
- C
- D
Q7:
Find in the expansion of .
- A
- B
- C
- D
- E
Q8:
Find in the expansion of .
- A
- B
- C
- D
- E
Q9:
If the coefficient of the third term in the expansion of is , determine the middle term in the expansion.
- A
- B
- C
- D
Q10:
If the ratio between the fourth term in the expansion of and the third term in the expansion of equals , find the value of .
- A
- B
- C
- D
Q11:
Consider the binomial expansion of in ascending powers of . Given that when , find the value of .
Q12:
In the binomial expansion of , is a positive, whole number and is the th term, or the term which contains .
If , what is the value of ?
Q13:
Find the coefficient of in the expansion of .
Q14:
Find the coefficient of in the expansion of .
Q15:
Find the third term in the expansion of .
- A
- B
- C
- D
Q16:
Consider the binomial expansion of in ascending powers of . What is the seventh term?
- A
- B
- C
- D
Q17:
In a binomial expansion, where the general term is , determine the position of the term containing .
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- D
Q18:
Find in the expansion of .
- A
- B
- C
- D
Q19:
Let be the term in the expansion of in increasing powers of . Find all nonzero values of for which .
- A4, 12
- B2, 14
- C2,
- D2, 1
Q20:
Given that the sum of the first, middle, and last terms in the expansion of is 42β337, find all possible real values of .
- A ,
- B ,
- C ,
- D ,
- E ,
Q21:
Find in the expansion of .
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- B
- C
- D
Q22:
Find in the expansion of .
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- C
- D
Q23:
Find the second-to-last term in .
- A
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- D
Q24:
Let be the th term in the expansion of in descending powers of . Find all the nonzero values of for which .
- A ,
- B ,
- C ,
- D ,
Q25:
Find the general term in .
- A
- B
- C
- D
- E