(1+1/1×3)*(1+1/2×4)*(1+1/3×5)*(1+1/4*6)……(1+1/11*13)=(1+1×3)*(1+2×4)*(1+3×5)*(1+4*6)……(1+11*13)/[1×2×3²×4²×.×11²×12×13)]=(2²×3²×4²×5²×.×11...
(1+1/1*3)(1+1/2*4)(1+1/3*5)(1+1/4*6)…(1+1/11*13)
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相关问题
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1/(1*2*3*4) + 1/(2*3*4*5) + 1/(3*4*5*6 )+…+ 1/(11*12*13*14)
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1*2*3*4+1=24+1=5*5 2*3*4*5+1=120+1=11*11 3*4*5*6+1=360+1=19*
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3*5=4²-1,5*7=6²-1,...,11*13=12²-1,...
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1/4-1/5=1/18+1/6=1/2-1/8=7/11+5=1/3+1/4=2-1/3=
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1·2·3·4+1=5²; 2·3·4·5+1=11²; 3·4·5·6+1=19²;
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1 -2/1 3/1 -4/1 5/1 -6/1 7/1 -8/1 9/1 -10/1 11/1 -12/1 13/1
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观察:1*2*3*4+1=5*5; 2*3*4*5+1=11*11; 3*4*5*6+1=19*19;
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(2+1/3+1/4+1/5)×(1/3+1/4+1/5+1/6)—(2+1/3+1/4+1/5+1/6)×(1/3+1
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1/2+1/3+1/4+1/5+1/6+1/7+1/8+1/9+1/10+1/11+1/12+1/13+1/14+1/1
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-1+1-1+1-1+1-1+1-1+1-1+1-1+1和1+2-3-4+5+6-7-8+9+10-11-12+13+1