tính nhanh
55 .26 + 48.5-55.16-48.50
tính S = 1.3+2.4+3.5+.....+48.50+49.51
S = 1.3+2.4+3.5+ .....+48.50+49.51
S = 1(2 + 1) + 2(3 + 1) + 3(4 + 1) + ... + 48(49 + 1) + 49(50 + 1)
S =1 + 1.2 + 2.3 + 2 + 3.4 + 3 + ... + 48.49 + 48 + 49.50 + 49
S = (1 + 2 + 3 + ... + 49) + (1.2 + 2.3 + 3.4 + ... + 49.50)
đặt A = 1 + 2 + 3 + ... + 49
A = (49 + 1).49 : 2
A = 1225
đătj B = 1.2 + 2.3 + 3.4 + ... + 49.50
3B = 1.2.3 + 2.3.3 + 3.4.3 + ... + 49.50.3
3B = 1.2.3 + 2.3.(4 - 1) + 3.4.(5 - 2) + ... + 49.50.(51 - 48)
3B = 1.2.3 + 2.3.4 - 1.2.3 + 3.4.5 - 2.3.4 + ... + 49.50.51 - 48.49.50
3B = 49.50.51
B = 41650
=> S = A + B = 41650 + 1225 = 42875
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tính S=1.3+2.4+3.5+4.6+...+48.50
A=1.3.5.7..49
B=\(\frac{1.2.3.4...49.50}{2.4.6...48.50}\)
C=\(\frac{26}{2}.\frac{27}{2}....\frac{50}{2}\)
So sánh A,B,C
Tính : 3/10.12+3/12.14+3/14.16+...+3/48.50
Đặt \(A=\frac{3}{10.12}+\frac{3}{12.14}+.....+\frac{3}{48.50}\)
\(A=\frac{3}{2}.\left(\frac{2}{10.12}+\frac{2}{12.14}+......+\frac{2}{48.50}\right)\)
\(A=\frac{3}{2}.\left(\frac{1}{10}-\frac{1}{12}+....+\frac{1}{48}-\frac{1}{50}\right)\)
\(A=\frac{3}{2}.\left(\frac{1}{10}-\frac{1}{50}\right)\)
\(A=\frac{3}{2}.\frac{2}{25}\)
\(A=\frac{3}{25}\)
3/10.12+3/12.14+............+3/48.50
=3/2.(2/10.12+2/12.14+..........+2/48.50)
=3/2(2/10-2/12+2/12-2/14+......+2/48-2/50)
=3/2.(2/10-2/50)
=3/2.4/25
=6/25
Tính GTBT:1.3/3.5+2.4/5.7+3.5/7.9+...+48.50/97.99
Cho A=1.3.5...49
B=\(\dfrac{1.2.3...49.50}{2.4.6....48.50}\)
C=\(\dfrac{26}{2}.\dfrac{27}{2}...\dfrac{50}{2}\)
So sánh A,B,C
Cho A=1.3.5.7...49
B=\(\frac{1.2.3.4.5.6...48.49.50}{2.4.6...48.50}\)
C=\(\frac{26}{2}.\frac{27}{2}...\frac{50}{2}\)
So sánh A,B và C
Tính giá trị của biểu thức A=1.3+2.4+3.5+4.6+...+48.50
tính nhanh
\(1.3+2.4+3.5+4.6+...+48.50+49.51\)