SOLUTION: what is the product of the first 99 terms in the sequence 1/2 2/3 3/4 4/5..?

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Question 25078: what is the product of the first 99 terms in the sequence 1/2 2/3 3/4 4/5..?

Found 2 solutions by Earlsdon, venugopalramana:
Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
Find the product of the first 99 terms of:
%281%2F2%29%282%2F3%29%283%2F4%29%284%2F5%29...%2897%2F98%29%2898%2F99%29%2899%2F100%29
Notice that 2nd numerator will cancel the 1s denominator, the 3rd numerator will cancel the 2nd denominator, and so on.
Continue to do this to the last fraction and you will end up with: 1%2F100

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
WE HAVE 1/2*2/3*3/4*......*99/100
2,3,4,...TILL 99..IN NUMERATOR AND DENOMINATOR CANCEL EACH OTHER .SO WE GET
ANSWER AS 1/100