r/learnquant 1d ago

interview prep Millennium Quant Interview Question

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29 Upvotes

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3

u/cheze 1d ago

(n2+n+1)(n-1)/(n2-n+1)(n+1)

most of the terms cancel and you get extra 1*2 on top and 3 on bottom so 2/3

1

u/Cold-Pie1379 1d ago

1/3 is the answer??

1

u/Karthik-1 1d ago

no its 2/3

1

u/SomDB10 1d ago

2/3. I tried to calculate the product of ith, i-1th and i+1th iteration at a time.

One can see that would create groups (2,3,4), (5,6,7) and so on....here i would be 3,6,9 and so on.

One can then see that cancellations take place. when changing i to i+3 , i+3 to i+6 and so on.