Question

Find the $(r+1{)}^{th}$ term in the expansion of $(x+y{)}^n$

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

There will be (n+1) terms in the expansion of $(x+y{)}^n$
The first term will be ${}^n{C}_0{x}^n{y}^0$ and the last term or $(n+1{)}^{th}$ term will be ${}^n{C}_n{x}^0{y}^n$. If you observe more terms, you will find out that
$T_{r+1}={}^n{C}_r{x}^{n-r}{y}^r$