Đặt A = 1.2 + 2.3 + 3.4 + .... + 39.40
3A = 3( 1.2 + 2.3 + 3.4 + .... + 39.40 )
= 1.2.3 + 2.3.3 + 3.4.3 + .... + 39.40.3
= 1.2.3 + 2.3.(4 - 1) + 3.4.(5 - 2) + ... + 39.40(41 - 38)
= 1.2.3 + 2.3.4 - 1.2.3 + 3.4.5 - 2.3.4 + ..... + 39.40.41 - 38.39.40
= 39.40.41
\(\Rightarrow A=\frac{39.40.41}{3}=21320\)
Tính:
\(\frac{1}{2x3}+\frac{1}{3x4}+\frac{1}{4x5}+...+\frac{1}{38x39}+\frac{1}{39x40}\)
Tính nhanh
1,\(\frac{3}{4}x\frac{8}{9}x\frac{15}{16}x\frac{24}{25}x.....x\frac{99}{100}\)
2,abcd x cd - cdcd x ab
3,a,
A=\(\frac{1}{1x2}+\frac{1}{2x3}+...........\frac{1}{99x100}\)
B= \(\frac{1}{10x11}+\frac{1}{11x12}+.......+\frac{1}{38x39}+\frac{1}{39x40}\)giải bài toán ra hộ nhé
Tinh 1x2+2x3+3x4+...+99x100
Tinh 1x2+2x3+3x4+...+99x100
1x2 + 2x3 + 3x4 + 4x5 + .... +99x100
a.1x2+2x3+3x4+.........+19x20
b. 3x4+4x5+5x6+.........+49x50
Tính tổng: 1x2+2x3+3x4+...+98x99
Tính tổng: 1x2+2x3+3x4+...+98x99
1x2+2x3+3x4+...+17x18+18x19+19x20
