Telescoping Sums

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Try the first 5 questions

1.
Partial fraction of 1/(k(k+3)) is:
2.
sum(1/, k=1 to 10) =
3.
sum(k*k!, k=1 to 6) =
4.
1/(sqrt(1)+sqrt(2)) + 1/(sqrt(2)+sqrt(3)) + ... + 1/(sqrt(99)+sqrt(100)) =
5.
1/(1*2) + 1/(2*3) + 1/(3*4) + ... + 1/(10*11) =

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