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Find The (r+1)( r + 1 ) Th Term in the Binomial Expansion

Question 3

Multiple Choice

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


A) n!(nr!(r+1) !xnr1br+1\quad \frac { n ! } { ( n - r ! ( r + 1 ) ! } x ^ { n - r - 1 } b ^ { r + 1 }
B) n!(nr1) !(r+1) !xnr1br+1\frac { n ! } { ( n - r - 1 ) ! ( r + 1 ) ! } x ^ { n - r - 1 } b ^ { r + 1 }
C) n!(nr) !r!xnrbr\frac { n ! } { ( n - r ) ! r ! } x ^ { n - r } b ^ { r }
D) n!(n+r1) !(r+1) !xn+r1br+1\frac { n ! } { ( n + r - 1 ) ! ( r + 1 ) ! } x ^ { n + r - 1 } b ^ { r + 1 }
E) n!(nr) !r!xnr+1br1\frac { n ! } { ( n - r ) ! r ! } x ^ { n - r + 1 } b ^ { r - 1 }

Correct Answer:

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