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Number Theory Level 3

If

∏ n = 1 834783 n n + 1 \displaystyle \prod_{n=1}^{834783} \frac {n}{n + 1}

is equivalent to a b \frac {a}{b} , find a + b a + b .


The answer is 834785.

Sharky Kesa by Sharky Kesa , 19, United Kingdom

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1 solution

Rishabh Jain
Jun 20, 2014

smashing the numbers and you will simply get the answer which is as follows 1 2 2 3 3 4 . . . . 834784 834875 \frac { 1 }{ 2 } \frac { 2 }{ 3 } \frac { 3 }{ 4 } ....\frac { 834784 }{ 834875 }

2 Helpful 0 Interesting 0 Brilliant 0 Confused

Can you believe this when I say I took the product sign to represent sigma....and then formed a telescoping series....I think too much of thinking is disastrous :P

Tanya Gupta - 6 years, 11 months ago

thinking never stops !!

Rishabh Jain - 6 years, 11 months ago

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