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The value of 14+14×5+14×5×6,\frac{1}{4}+\frac{1}{4\times 5}+\frac{1}{4\times 5 \times 6} ,41​+4×51​+4×5×61​,​ correct to four decimal places, is:
Question

The value of 14+14×5+14×5×6,\frac{1}{4}+\frac{1}{4\times 5}+\frac{1}{4\times 5 \times 6} ,​ correct to four decimal places, is:

A.

0.3092

B.

0.3083

C.

0.3150

D.

0.3140

Correct option is B

Given: 

14+14×5+14×5×6\frac{1}{4}+\frac{1}{4\times 5}+\frac{1}{4\times 5 \times 6}  

Solution: 

=14+14×5+14×5×6 =14+120+1120 =30+6+1120 =37120 =0.3083=\frac{1}{4}+\frac{1}{4\times 5}+\frac{1}{4\times 5 \times 6} \\ \ \\ =\frac{1}{4}+\frac{1}{20}+\frac{1}{120 } \\ \ \\ =\frac{30+6+1}{120}\\ \ \\= \frac{37}{120} \\ \ \\ = 0.3083​​

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