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How to do math 2+4+6+8+ 10+? With clever calculation +96+98+ 100 fourth grade primary school?
This needs induction.

The formula can be written as: (2+100) x100/2/2 = 2550.

Analysis method: 2+ 100= 102.

4+98= 102

6+96= 102……

Because they are all even numbers, a * * * with 100/2 and * * 50 can form a pair equal to 102 and * * 50/2 = 25.

102x25=2550