Question 37
Binomial TheoremFind the coefficient of the 6th term in the binomial expansion of (1 − 2x/3)10 in ascending powers of x.
- A.−896x6/9
- B.−896x6/27
- C.−896x5/9
- D.−896x5/27
Show the answer and explanation
Answer: D (−896x5/27)
Explanation
The 6th term is ¹⁰C₅(−2x/3)⁵ = 252 × (−32/243)x⁵ = −896x⁵/27.