Toán Lớp 6: A= 1*2*3+2*3*4+4*5*6+…+98*99*100
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Toán Lớp 6: A= 1*2*3+2*3*4+4*5*6+…+98*99*100
help me
Comments ( 2 )
Giải đáp+Lời giải và giải thích chi tiết:
A=1.2.3+2.3.4+4.5.6+…….+98.99.100
=>4A=(1.2.3+2.3.4+3.4.5+4.5.6+…+98.99.100).4
=>4A=1.2.3.(4-0)+2.3.4.(5-1)+3.4.5.(6-2)+4.5.6.(7-3)+…+98.99.100.(101-97)
=>4A=1.2.3.4+2.3.4.5-1.2.3.4+3.4.5.6-2.3.4.5+4.5.6.7-3.4.5.6+…+98.99.100.101-97.98.99.100
=>4A=1.2.3.4-1.2.3.4+2.3.4.5-2.3.4.5+3.4.5.6-3.4.5.6+…+97.98.99.100-97.98.99.100+98.99.100.101
=>4A=98.99.100.101
=>A=(98.99.100.101)/4
=> A=24497550
A=1.2.3+2.3.4+4.5.6+….+98.99.100
4A=4(1.2.3+2.3.4+4.5.6+….+98.99.100)
4A=1.2.3(4-0)+2.3.4(5-1)+….+98.99.100(101-97)
4A=1.2.3.4+2.3.4.5-2.3.4+….+98.99.100.101-98.99.100.97
4A=98.99.100.101
=>A=(98.99.100.101)/4
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