Find the (R + 1) Th Term in the Binomial $$( x + d ) ^ { n }$$

Multiple Choice

Find the (r + 1) th term in the binomial expansion. $$( x + d ) ^ { n }$$

A) $\quad \frac { n ! } { ( n - r ) ! r ! } x ^ { n - r + 1 } d ^ { r - 1 }$

B) $\quad \frac { n ! } { ( n - r ) ! r ! } x ^ { n - r } d ^ { r }$

C) $\frac { n ! } { ( n - r - 1 ) ! ( r + 1 ) ! } x ^ { n - r - 1 } d ^ { r + 1 }$

D) $\frac { n ! } { ( n - r ! ( r + 1 ) ! } x ^ { n - r - 1 } d ^ { r + 1 }$

E)
$\frac { n ! } { ( n + r - 1 ) ! ( r + 1 ) ! } x ^ { n + r - 1 } d ^ { r + 1 }$