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How to do the sixth problem of unit 6 in the new motivation of mathematics in grade two of primary school
Solution: The original formula = 2/(1+2) * 2+2/(1+3) * 3+2/(1+4) * 4+...+2/(1+99).

=2*{ 1/6+ 1/ 12+ 1/20+...+ 1/9900)

=2{( 1/2- 1/3)+( 1/3- 1/4)+( 1/4- 1/5)+...+( 1/99- 1/ 100)

=2*( 1/2- 1/ 100)

=49/50

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