# Consider The Expansion of (1+x)²n+1

**For the next three (03) items that follow:**

Consider the expansion of (1+x)²^{n+1}

- If the coefficients of x
^{r}and x^{r+1}are equal in the expansion, then r is equal to

(a)n (b) 2n-1/2 (c) 2n+1/2 (d) n+1 - The average of the coefficients of the two middle terms in the expansion is

(a)^{2n+1}C_{n+2 }(b)^{2n+1}C_{n}^{ }(c)^{2n+1}C_{n-1}^{ }(d)^{2n}C_{n+1} - The sum of the coefficients of all the terms in the expansion is

(a) 2^{2n-1 }(b)4^{ n-1} (c) 2 x 4^{n} (d) None of the above