Bài 1: Tính nhanh
a) A = 1/1.3.5 + 1/3.5.7 + 1/5.7.9 + 1/7.9.11 + 1/9.11.13
A=6/1.3.7 + 6/3.7.9 + 6/7.9.13 + 6/9.13.15 + 6/13/15/19
Giup mk nhé và làm theo cách dưới :
C=4/1.3.5 + 4/3.5.7 + 4/5.7.9 + 4/7.9.11 + 4/9.11.13
C=5-1/1.3.5 + 7-3 /3.5.9 + ............................ + 13-9/9.11.13
C=5/1.3.5 - 1/1.3.5 + 7/3.5.7 - 3/3.5.7 + ................... + 13/9.11.13 - 9/9.11.13
C=1/1.3 -1/3.5 + 1/3.5- 1/5.7 + ................................. + 1/9.11 - 1/11.13
C=1/1.3 - 1/11.13
C= 11.13/3.11.13 - 3/3.11.13
C=140/425
mình cũng ko hiểu cách giải này cho lắm nên mình làm thế thôi
Giup mk .Mk like bn nào trả lời sóm nhất , đúng nhất .
A=6/1.3.7 + 6/3.7.9 + 6/7.9.13 + 6/9.13.15 + 6/13.15.19
Nếu các bn ko biết giải cách tiểu học thì giải theo sau
B=4/1.3.5 + 4/3.5.7 + 4/5.7.9 + 4/7.9.11 + 4/9.11.13
B=5-1/1.3.5 + 7-3/3.5.7 +........+ 13-9/9.11.13
B=5/1.3.5 - 1/1.3.5 + 7/3.5.7 - 3/3.5.7 +............... + 13/9.11.13 - 9/9.11.13
B=1/1.3 - 1/3.5 + 1/3.5 - 1/5.7 + ............. + 1/9.11 - 1/11.13
B=1/1.3-1/11.13
B= 11.13/3.11.13 - 3/3.11.13 = 140/425
Tính nhanh: D = 4/1.3.5+4/3.5.7+4/5.7.9+4/7.9.11+4/9.11.13.
D = 4/1.3.5+4/3.5.7+4/5.7.9+4/7.9.11+4/9.11.13
D.\(=\frac{1}{1.3}-\frac{1}{3.5}+\frac{1}{3.5}-\frac{1}{5.7}+...+\frac{1}{9.11}-\frac{1}{11.13}\)
D\(=\frac{1}{1.3}-\frac{1}{11.13}\)
D\(=\frac{1}{3}-\frac{1}{143}\Rightarrow D=\frac{140}{429}\)
1 TÍnh C = 1.3.5 – 3.5.7 + 5.7.9 – 7.9.11 + … - 97.99.101
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}
1 TÍnh C = 1.3.5 – 3.5.7 + 5.7.9 – 7.9.11 + … - 97.99.101
1.3.5.8 + 3.5.7.8 + 5.7.9.8 + … + 95.97.99.8
= 1.3.5(7 + 1) + 3.5.7(9 - 1) + 5.7.9(11 - 3) + … + 95.97.99(101 - 93)
= 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
=15 + 95.97.99.101
=> A = \frac{15.95 + 97.99.101}{8}
Tính:
A= -1+2-3-4-5+6-7-8-9+...-2021+2023-2024
B=1.3.5+3.5.7+5.7.9+7.9.11+...+99.101.103
C=1.3+2.4+3.5+...+198.200
(chỉnh đề)
A=\(-1+2-3-4-5+6-7-8-9+...-2021-2022+2023-2024\)
=\(\left(-1-2024\right)+\left(2+2023\right)+\left(-3-2022\right)+\left(-4-2021\right)+\left(-5-2020\right)+\left(6+2019\right)-\left(-7-2018\right)+\left(-8-2017\right)+\left(-9-2016\right)+...+\left(1010+1015\right)+\left(-1011-1014\right)+\left(-1012-1013\right)\)=\(-2025+2025-2025-2025-2025+2025-2025-2025-2025+...+2025-2025-2025\)=253.2025-1771.2025=-3 073 950.
B=\(1.3.5+3.5.7+5.7.9+7.9.11+...+99.101.103\)
8B=\(1.3.5.8+3.5.7.8+5.7.9.8+7.9.11.8+...+99.101.103.8\)
8B=\(1.3.5.\left[7-\left(-1\right)\right]+3.5.7.\left(9-1\right)+5.7.9.\left(11-3\right)+7.9.11.\left(13-5\right)+...+99.101.103.\left(105-97\right)\)8B=\(3.5+3.5.7+3.5.7.9-3.5.7+5.7.9.11-3.5.7.9+7.9.11.13-5.7.9.11+...+99.101.103.105-97.99.101.103\)
B=\(\dfrac{3.5+99.101.103.105}{8}=13517400\)
- Đặt C1=\(1.3+3.5+...+197.199\).
6C1=\(1.3.6+3.5.6+...+197.199.6\)
6C1=\(1.3.\left[5-\left(-1\right)\right]+3.5.\left(7-1\right)+...+197.199.\left(201-195\right)\)
6C1=\(3+3.5+3.5.7-3.5+...+197.199.201-195.197.199\)
C1=\(\dfrac{3+197.199.201}{6}=1313301\)
- Đặt C2=\(2.4+4.6+...+198.200\)
6C2=\(2.4.6+4.6.6+...+198.200.6\)
6C2=\(2.4.\left(6-0\right)+4.6.\left(8-2\right)+...+198.200.\left(202-196\right)\)
C2=\(\dfrac{198.200.202}{6}=1333200\)
=>C1+C2=C=1313301+1333200=2646501
1. TÝnh B = 1.3^2 + 3.5^2 + 5.7^2 + … + 97.99^2
2 C = 1.3.5 – 3.5.7 + 5.7.9 – 7.9.11 + … - 97.99.101
Tính C=1.3.5-3.5.7+5.7.9-7.9.11+...-97.99.101
tính
B=1.3.5+3.5.7+5.7.9+7.9.11+...+99.101.103