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P = 5.6.7 + 6.7.8 + 7.8.9 + 20.21.22
4P = 5.6.7.(8-4) + 6.7.8.(9 - 5) + ...... + 20.21.22.(23-19)
4P = 5.6.7.8 - 4.5.6.7 + 6.7.8.9 - 5.6.7.8 + .... + 20.21.22.23 - 19.20.21.22
4P = 20.21.22.23 - 4.5.6.7 = 211680
P = 211680 / 4= 52920
4P=5.6.7.(8-4)+6.7.8.(9-5)+7.8.9.(10-6)+.......+20.21.22.(23-19)
4P=5.6.7.8-4.5.6.7+6.7.8.9-5.6.7.8.9+.............+20.21.22.23-19.20.21.22
4P=20.21.22.23
P=20.21.22.23:4
P=53130
P = 5.6.7+ 6.7.8 + 7.8.9 + ...+ 20.21.22 = 50736 nha bạn .
4P = 4.5.6.7+4.6.7.8+4.7.8.9+...+4.20.21.22
= 5.6.7.(8-4)+6.7.8.(9-5)+7.8.9.(10-6)+....+20.21.22.(23-19)
= 5.6.7.8-4.5.6.7+6.7.8.9-5.6.7.8+7.8.9.10-6.7.8.9+....+20.21.22-23-19.20.21.22
= 20.21.22.23-4.5.6.7 = 212520 - 840 = 211680
=> P = 52920
k mk nha
B=(\(\left(\dfrac{4}{9}+\dfrac{5}{9}\right).\left(\dfrac{-1}{19}\right)\)
=1.\(\dfrac{-1}{19}\)
=\(\dfrac{-1}{19}\)
5*6*7+6*7*8+7*8*9+..............................+20*21*22
5+8+9+10++11+12+13+14+15+16+17+18+19+20+21+22=230
vậy p=230
\(\frac{1}{1.2.3}+\frac{1}{2.3.4}+\frac{1}{3.4.5}+...+\frac{1}{20.21.22}=\frac{1}{2}\left(\frac{2}{1.2.3}+\frac{2}{2.3.4}+\frac{2}{3.4.5}+...+\frac{2}{20.21.22}\right)\)
\(=\frac{1}{2}\left(\frac{1}{1.2}-\frac{1}{2.3}+\frac{1}{2.3}-\frac{1}{3.4}+\frac{1}{3.4}-\frac{1}{4.5}+....+\frac{1}{20.21}-\frac{1}{21.22}\right)\)
\(=\frac{1}{2}\left(\frac{1}{2}-\frac{1}{462}\right)=\frac{1}{2}.\frac{115}{231}=\frac{115}{462}\)
P = 5.6.7+ 6.7.8 + 7.8.9 + .... + 20.21.22
4P = 5.6.7.(8-4) + 6.7.8.(9 - 5) + .... + 20.21.22.(23 - 19)
4P = 5.6.7.8 - 4.5.6.7 + 6.7.8.9 - 5.6.7.8 + 20.21.22.23-19.20.21.22
4P = 20.21.22.23 - 4.5.6.7 = 211680
P = 211680/4= 52920
A = 1.2.3 + 2.3.4 + 3.4.5 + ... + 20.21.22
4A = 1.2.3.4 + 2.3.4.4 + 3.4.5.4 + ... + 20.21.22.4
4A = 1.2.3.4 + 2.3.4.(5 - 1) + 3.4.5.(6 - 2) + ... + 20.21.22.(23 - 19)
4A = 1.2.3.4 + 2.3.4.5 - 1.2.3.4 + 3.4.5.6 - 2.3.4.5 + ... + 20.21.22.23 - 19.20.21.22
4A = 20.21.22.23
A = 20.21.22.23 : 4
A = 53130
Đặt A = 1.2.3 + 2.3.4 + 3.4.5 + 4.5.6 +...+ 20.21.22
\(\Rightarrow4A=1.2.3.4+2.3.4.4+3.4.5.4+4.5.6.4+...+20.21.22.4\)
\(=1.2.3.4+2.3.4.\left(5-1\right)+3.4.5.\left(6-2\right)+4.5.6.\left(7-3\right)+...+20.21.22.\left(23-19\right)\)
= 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 +...+ 20.21.22.23 - 19.20.21.22
= 20.21.22.23
= 212520
_Hok tốt_
!!!
B = 20.21.22 + 21.22.23 + 22.23.24 + ... + 48.49.50
4B = 20.21.22.4 + 21.22.23.4 + 22.23.24.4 + ... + 48.49.50.4
4B = 20.21.22.(23 - 19) + 21.22.23.(24 - 20) + 22.23.24.(25 - 21) + ... + 48.49.50.(51 - 47)
4B = 20.21.22.23 - 19.20.21.22 + 21.22.23.24 - 20.21.22.23 + 22.23.24.25 - 21.22.23.24 + ... + 48.49.50.51 - 47.48.49.50
4B = 48.49.50.51
B = 48.49.50.51 : 4
B = 1499400