Tính nhanh:S=2/1.2.3+2/2.3.4+...+2/99.100.101
Tính nhanh: S = 2/ 1.2.3 + 2/ 2.3.4 + 2/3.4.5 + ....... + 2/ 99.100.101
Tính nhanh: S = 2/1.2.3 + 2/2.3.4 + 2/3.4.5+.........+ 2/99.100.101
Tính nhanh: S = 2 phần 1.2.3 + 2 phần 2.3.4 + 2 phần 3.4.5 + ...+ 2 phần 99.100.101
Tính: 1.2.3+2.3.4+...+99.100.101
tính tổng: A= 1.2.3+2.3.4+3.4.5+...+99.100.101
1.2.3 = 1/4 . (1.2.3.4 - 0.1.2.3)
2.3.4 = 1/4 . (2.3.4.5 - 1.2.3.4)
3.4.5 = 1/4 . (3.4.5.6 - 2.3.4.5)
.................
99.100.101 = 1/4 . (99.100.101.102 - 98.99.100.101)
C = 1.2.3+2.3.4+3.4.5+.........+99.100.101
C= 1/4 . (99.100.101.102 - 98.99.100.101)
CHUC BN HOK GIỎI!
Tính:
f) F= 1.2+2.3+3.4+...+n(n+1)
g) G= 1.2.3+2.3.4+3.4.5+...+99.100.101
h) H= 1.2.3+2.3.4+3.4.5+...+n(n+1)(n+2)
i) I= 1.3+2.4+3.5+...+99.100
j) J= 1.4+2.5+3.6+...+99.102
Tính: 1/1.2.3+1/2.3.4+1/3.4.5+...+1/99.100.101
Đặt A=1/1.2.3+1/2.3.4+...+1/99.100.101
2A=2/1.2.3+2/2.3.4+...2/99.100.101
2A=3-1/1.2.3+4-2/2.3.4+...+101-99/99.100.101
2A=3/1.2.3-1/1.2.3+4/2.3.4-2/2.3.4+...+101/99.100.101-99/99.100.101
2A=1/1.2-1/2.3+1/2.3-1/3.4+...+1/99.100-1/100.101
2A=1/2-1/10100
Tính : \(A=1.2.3+2.3.4+3.4.5+.....+99.100.101\)
A = 1.2.3 + 2.3.4 + 3.4.5 + ... + 99.100.101
4A = 4.(1.2.3 + 2.3.4 + 3.4.5 + ... + 99.100.101)
= 1.2.3.(4-0) + 2.3.4.(5-1) + 3.4.5.(6-2) + ... + 99.100.101.(102-98)
= 1.2.3.4 - 1.2.3.4 + 2.3.4.5 - 2.3.4.5 + 3.4.5.6 - 3.4.5.6 + ... + 98.99.100.101 - 98.99.100.101 + 99.100.101.102
4A = 99.100.101.102
A = 99.100.101.102 : 4
A = 25497450
A= 1.2.3+2.3.4+.......+99.100.101
Kết quả là : \(\frac{5049}{20200}\)
A = 1.2.3 + 2.3.4 + ... + 99.100.101
=> 4A = 1.2.3.4 + 2.3.4.4 + ... + 99.100.101.4
=> 4A = 1.2.3.4 + 2.3.4.(5 - 1) + ... + 99.100.101.(102 - 98)
=> 4A - 1.2.3.4 + 2.3.4.5 - 1.2.3.4 + ... + 99.100.101.102 - 98.99.100.101
=> 4A = 99.100.101.102
=> A = 99.100.101.102 :4
=> A = 25497450
\(=\frac{5049}{20200}\)
Code : Breacker