SOLUTION: Simplify the expression and write the answer in fraction form:
(1)/(2*3)+(1)/(3*4)+(1)/(4*5)+.......+(1)/(50*51)
Thank you!
Algebra ->
Expressions-with-variables
-> SOLUTION: Simplify the expression and write the answer in fraction form:
(1)/(2*3)+(1)/(3*4)+(1)/(4*5)+.......+(1)/(50*51)
Thank you!
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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
