B= 2.3.5+4.6.10+8.12.20 / 2.4.5+4.8.10+8.16.20
C= 1.3.5+6.7.8+7.9.11 / 1.9.5+6.21.8+7.27.11
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a) B= 5.6.7+6.7.8+7.8.9+...+2015.2016.2017
4B=4.(5.6.7+6.7.8+7.8.9+...+2015.2016.2017)
4B=5.6.7.4+6.7.8.4+7.8.9.4+...+2015.2016.2017.4
4B=5.6.7.(8-4)+6.7.8.(9-5)+7.8.9.(10-6)+...+2015.2016.2017.(2018-2014)
4B=5.6.7.8-4.5.6.7+6.7.8.9-5.6.7.8+7.8.9.10-6.7.8.9+...+2015.2016.2017.2018-2014.2015.2016.2017
4B= -4.5.6.7
B=\(\dfrac{-4.5.6.7}{4}\)
B= -210
b) D=7.9.11+9.11.13+11.13.15+...+101.103.105
8D= 8(7.9.11+9.11.13+11.13.15+...+101.103.105)
8D=7.9.11.8+9.11.13.8+11.13.15.8+...+101.103.105.8
8D=7.9.11.(13-5)+9.11.13.(15-7)+11.13.15.(17-9)+...+101.103.105.(107-99)
8D=7.9.11.13-5.7.9.11+9.11.13.15-7.9.11.13+11.13.15.17-9.11.13.15+...+101.103.105.107-99.101.103.105
8D=-5.7.9.11
D= \(\dfrac{-5.7.9.11}{8}\)
D= \(\dfrac{3465}{8}\)
A = 1 . 3 . 5 - 3. 5 . 7 + 5 . 7 . 9 - 7.9.11 + ... + 97.99.101
4A = 1.2.3.4 + 2.3.4.4 + 3.4.5.4 + … + 98.99.100.4
= 1.2.3.4 + 2.3.4(5 - 1) + 3.4.5(6 - 2) + … + 98.99.100(101 - 97)
= 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
= 98.99.100.101
=> A = 98.99.25.101
A = 24 497 550
mk ko viết đề nhé
C=1.3.5.8 + 3.5.7.8 + 5.7.9.8 + … + 95.97.99.8
C= 1.3.5(7 + 1) + 3.5.7(9 - 1) + 5.7.9(11 - 3) + … + 95.97.99(101 - 93)
C= 1.3.5.7 + 15 + 3.5.7.9 - 1.3.5.7 + 5.7.9.11 - 3.5.7.9 + … + 95.97.99.101 - 93.95.97.99
C= 15 + 95.97.99.101
=>C=\frac{15 + 95.97.99.101}{8}