Question 430033

for 1/(2*3) we can write as : 3-2/(2*3) = 1/2 - 1/3

similarly for second term : 1/3 - 1/4 

for third term :  1/4 - 1/5


so, expression is in this form:

1/2 - 1/3 + 1/3 - 1/4 + 1/4  -1/5 .........+ 1/50 - 1/51

all term will cancel except 1/2 - 1/51

so, answer is :  1/2 -1/51 

= 49/[2*51]

= 0.480


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