1*2+2*3+3*4+4*5+5*6+6*7

2024-12-20 06:39:42
推荐回答(1个)
回答1:

1*2+2*3+3*4+4*5+5*6+6*7
=1²+2²+3²+4²+5²+6²+1+2+3+4+5+6
=6*(6+1)*(6*2+1)/6+(1+6)*6/2
=91+21
=112

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1*2+2*3+3*4+4*5+5*6+6*7
=2*(1+3)+4*(3+5)+6*(5+7)
=2*4+4*8+6*12
=40+72
=112