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A=6+16+30+48+...+19600+19998
2A = 1.3+2.4+3.5+...+99.101
B=2+5+9+14+...+4949+5049
2A = 1.4+2.5+3.6+...+99.102
C=1.2.3+2.3.4+3.4.5+...+98.99.100
4A = 1.2.3.4+2.3.4(5-1)+3.4.5.(6-2)+...+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+...+98.99.100.101-97.98.99.100
4A = 98.99.100.101
A=6+16+30+48+...+19600+19998
A : 2 = 3 + 8 + 15 + 24 + . . . + 9800 + 9999
A : 2 = 1.3 + 2.4 + 3.5 + 4.6 + . . . + 98.100 + 99.101
A : 2 = 1.[1+2] + 2.[1+3] + 3.[1+4] + 4.[1+5] + . . . + 98.[1+99] + 99.[1+100]
A : 2 = 1 + 1.2 + 2 + 2.3 + 3 + 3.4 + 4 + 4.5 + . . . + 98 + 98.99 + 99 + 99.100
A : 2 = 1 + 2 + 3 + 4 + . . . + 199 + 1.2 + 2.3 + 3.4 + 4.5 + . . . + 98.99 + 99.100
A : 2 = 4950 + 333300
A = 676500
Bạn cho sai đề rồi !
Sửa : Chứng tỏ : \(\frac{1}{1.2.3}+\frac{1}{2.3.4}+\frac{1}{3.4.5}+...+\frac{1}{98.99.100}=\frac{4949}{9900}\)
Ta có : \(VT=\frac{1}{1.2.3}+\frac{1}{2.3.4}+\frac{1}{3.4.5}+...+\frac{1}{98.99.100}\)
\(=\frac{1}{1.2}-\frac{1}{2.3}+\frac{1}{2.3}-\frac{1}{3.4}+\frac{1}{3.4}-\frac{1}{4.5}+...+\frac{1}{98.99}-\frac{1}{99.100}\)
\(=\frac{1}{1.2}-\frac{1}{99.100}\)
\(=\frac{99.100-2}{2.99.100}\)
\(=\frac{4949}{9900}=VP\)
Study well ! >_<
A= [(-\(\frac{3}{5}+\frac{4}{9}\)) : \(\frac{2}{7}\) - (-\(\frac{14}{9}+\frac{2}{5}\)) : \(\frac{2}{7}\)] : (\(\frac{32}{7}.\) \(\frac{71}{2}-\frac{32}{7}\) . \(\frac{51}{2}\))
A= [ (-\(\frac{3}{5}+\frac{2}{5}\)) - (\(\frac{4}{9}+\frac{14}{9}\)) : \(\frac{2}{7}\)] : [ \(\frac{32}{7}\). (\(\frac{71}{2}-\frac{51}{2}\)) ]
A= (-\(\frac{36}{5}\)) : (\(\frac{320}{7}\))
A= - \(\frac{63}{400}\)
Chúc bạn học tốt!
Ta có: \(S=2+5+9+14+...+4949+5049\)
\(\Rightarrow2S=2.\left(2+5+9+14+...+4949+5049\right)\)
\(\Rightarrow2S=1.4+2.5+3.6+4.7+...+99.102\)
\(\Rightarrow2S=1.\left(2+2\right)+2.\left(3+2\right)+3.\left(4+2\right)+...+99.\left(100+2\right)\)
\(\Rightarrow2S=1.2+1.2+2.3+2.2+3.4+3.2+...+99.100+99.2\)
\(\Rightarrow2S=\left(1.2+2.3+3.4+...+99.100\right)+2.\left(1+2+3+...+99\right)\)
\(\Rightarrow2S=333300+9900\)
\(\Rightarrow2S=343200.\)
\(\Rightarrow S=343200:2\)
\(\Rightarrow S=171600.\)
Chúc bạn học tốt!
S10 là sao z bạn ơi