
机智的小伙伴们,求教这道题的详细做法,多谢啦
1个回答
2014-12-01
展开全部
(1)
S5=1³+2³+3³+4³+5³
=(1+2+3+4+5)²
=[5×(1+5)/2]²
S6=1³+2³+3³+4³+5³+6³
=(1+2+3+4+5+6)²
=[6×(1+6)/2]²
(2)
Sn=1³+2³+3³+…+n³
=(1+2+3+…+n)²
=[n(n+1)/2]²
(3)
=(1³+2³+3³+…+20³)-(1³+2³+3³+…+10³)
=[20×(20+1)/2]²-[10×(10+1)/2]²
=44100-3025
=41075
S5=1³+2³+3³+4³+5³
=(1+2+3+4+5)²
=[5×(1+5)/2]²
S6=1³+2³+3³+4³+5³+6³
=(1+2+3+4+5+6)²
=[6×(1+6)/2]²
(2)
Sn=1³+2³+3³+…+n³
=(1+2+3+…+n)²
=[n(n+1)/2]²
(3)
=(1³+2³+3³+…+20³)-(1³+2³+3³+…+10³)
=[20×(20+1)/2]²-[10×(10+1)/2]²
=44100-3025
=41075
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