1)

$\frac{1}{4}+\frac{1}{4 \times 5}+\frac{1}{4 \times 5 \times 6}$ correct to 4 decimal place is


A) 0.3075

B) 0.3082

C) 0.3083

D) 0.3085

Answer:

Option C

Explanation:

$\frac{1}{4}+\frac{1}{4\times5}+\frac{1}{4\times5\times6}=\frac{1}{4}(1+\frac{1}{5}+\frac{1}{30})=\frac{1}{4}(\frac{30+6+1}{30})=\frac{1}{4}\times\frac{37}{30}$

$=\frac{37}{120}=0.3083 $