Tính A
A=2.4 + 4.6 + ..... + 98.100
tính P=1/2.4+1/4.6+...+1/98.100
\(2P=\frac{2}{2.4}+\frac{2}{4.6}+...+\frac{2}{98.100}\)
\(2P=\frac{1}{2}-\frac{1}{4}+\frac{1}{4}+...+\frac{1}{98}-\frac{1}{100}\)
\(2P=\frac{1}{2}-\frac{1}{100}\)
=> P =\(\frac{49}{100}:2=\frac{49}{100}\cdot\frac{1}{2}=\frac{49}{200}\)
2.4+4.6+6.8+...+98.100/1.2+2.3+3.4+...+49.50. Tính
\(\frac{2.4+4.6+6.8+...+98.100}{1.2+2.3+3.4+...+49.50}=\frac{4.\left(1.2+2.3+3.4+...+49.50\right)}{1.2+2.3+3.4+...+49.50}=\frac{4}{1}=4\)
Tính nhanh:(1/2.4)+(1/4.6)+(1/6.8)+.....+(1/98.100)=
tính D=2.4+3.5+4.6+5.7+6.8+7.9+.......+97.99+98.100
Tính tổng sau:
1.3+2.4+3.5+4.6+.....+97.99+98.100
1.3+2.4+3.5+4.6+.....+97.99+98.100
\(=2^2-1+3^2-1+....+99^2-1\)
\(=1^2+2^2+3^2+....+99^2-99\)
\(=\frac{99.100.196}{6}-99\)
\(=328251\)
1.3+2.4+3.5+4.6+.....+97.99+98.100
= 22 - 1 + 32+...+992 - 1
= 12 + 22 + 32 + 992 - 99
=\(\frac{99.100.199}{6}\) - 99
= 328251
tính 2.4+3.5+4.6+5.7+6.8+7.9+8.10+...+97.99+98.100
trong sách nâng cao và phát triển 6 đó bạn
Tính tổng:
S=1.3.5+.3.5.7+....+91.93.95
S=2.4+4.6+...+98.100
2.4 + 4.6 + 6.8 +...+ 98.100 + 100.102
A=(1.2)(2.2)+(2.2)(3.2)+...+(50.2)(51.2)
A=1.2.4+2.3.4+...+50.51.4
A=4(1.2+2.3+...+50.51)
M= 1.2+2.3+...+50.51
3M=1.2.3+2.3.(4-1)+...+50.51.(52-49)
=1.2.3+2.3.4-1.2.3+...+50.51.52-49.50.51
= 50.51.52
=132600
=> M=44200
=> A=4M=176800