A) \[\frac{1}{a+1}\]
B) \[\frac{a+5}{a+1}\]
C) \[\frac{a+1}{a+5}\]
D) \[\frac{1}{a+5}\]
Correct Answer: B
Solution :
\[\left( 1+\frac{1}{a+1} \right)\left( 1+\frac{1}{a+2} \right)\left( 1+\frac{1}{a+3} \right)\left( 1+\frac{1}{a+4} \right)\] \[=\left( \frac{a+2}{a+1} \right)\left( \frac{a+3}{a+2} \right)\left( \frac{a+4}{a+3} \right)\left( \frac{a+5}{a+4} \right)=\left( \frac{a+5}{a+1} \right)\]
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