NDA 2022
- Exam
- NDA
- Year
- 2022
- Subject
- Mathematics
- Chapter
- Binomial Theorem
NDA 2022 · Mathematics · Binomial Theorem
In the expansion of (x+(1)/(x))^ 2 n , what is the (n+1) th term...
In the expansion of , what is the th term from the end (when arranged in descending powers of )?
Options
- A
- B
- C
- D
Correct answer
C.
Step-by-step solution
(x+1)^{\text{th }}\left(\mathrm{x}+\frac{1}{\mathrm{x}}\right)^{2 \mathrm{n}}=(\mathrm{n}+1)^{\text{th }}\left(\frac{1}{x}+x\right)^{2 n}\therefore(\mathrm{n}+1)^{\text{lh }} is