tính: A=1.4+2.5+3.6+...+99.102
B=4+12+24+40=...+19404+19800
tính :
a. A = 1.4 + 2.5 + 3.6+...+ 99.102
b. B = 1.3+2.4+3.5 +...+99.101
c. C = 4 + 12 + 24 + 40 +...+ 19404 + 19800
\(A=1.\left(2+2\right)+2.\left(3+2\right)+3.\left(4+2\right)+....+99.\left(100+2\right)\)
\(A = (1.2 + 2.3 + 3.4 + ... + 99.100) + (1.2 + 2.2 + 3.2 + ... + 99.2)\)
\(Đặt B = 1.2 + 2.3 + 3.4 + ... + 99.100\)
\(3B = 1.2.(3-0) + 2.3.(4-1) + 3.4.(5-2) + ... + 99.100.(101-98)\)
\(3B = 1.2.3 - 0.1.2 + 2.3.4 - 1.2.3 + 3.4.5 - 2.3.4 + ... + 99.100.101 - 98.99.100\)
\(3B = 99.100.101\)
\(B = 33.100.101 = 333300\)
\(A = 333300 + 2.(1 + 2 + 3 + ... + 99)\)
\(A = 333300 + 2.(1 + 99).99:2\)
\(A = 333300 + 100.99\)
\(A = 333300 + 9900\)
\(A = 343200\)
a. A = 1.4 + 2.5 + 3.6 +...+ 99.102
= 1( 2 +2) + 2(3+2) +...+ 99 (100 +2)
= 1.2 + 1.2 +2.3 + 2.2 +...+ 99 .100 +99 . 2
= ( 1.2 +2.3 + 3.4 +...+99 . 100) + 2(1 + 2 + 3+...+99)
= 333300 + 9900 = 343 200
b. B = 1.3 + 2.4 + 3.5 +...+ 99.101
= 1(2 +1) + 2(3 +1) + 3(4 +1) +...+ 99(100 +1)
= 1.2 + 1 + 2.3 + 2 + 3.4 +...+ 99. 100 +99
= ( 1.2 + 2.3 + 3.4 +...+ 99.100) + (1+2+...+99)
= 333300 + 4950 = 338 250
c. C = 4 + 12 + 24 +...+ 19404 + 19800
1/2C = 1.2 + 2.3 + 3.4 +...+ 98.99 + 99.100
1/2 C = 333300
C = 333300 : 1/2 = 666600
Tinh D=1.3+2.4+3.5+4.6+.....+99.100
E1.4+2.5+3.6+......+99.102
G=4+12+24+40+.....+19404+19800
a) A=1+2+3+...+n (n thuộc N*)
b) A=1.2+2.3+3.4+...+99.100
c) A=1.4+2.5+3.6+...+99.102
d) A=1+3+6+10+...+4850+4950
e) A=4+12+24+40+...+19404+19800
f) A=49+64+81+...+169
Các bạn làm nhanh giúp mình với nha :))
Tính A= 1.4+2.5+3.6+....+99.100
B=4+12+24+40+...+19404+19800
C= 1+3+6+10+...+4851+4950
mk ko làm bài A mà làm bài B vs C thôi đc ko bn
Tính: A= 1.3+2.4+3.5+....+ 99.101
B= 1.4+2.5+3.6+....+99.102
C= 4+12+24+40+...+19800
D= 1+3+6+10+...+4851+4950
Tính: A = 4 + 12 + 24 + 40 + ...+ 19404 + 19800
Ta có:
A = 4 + 12 + 24 + 40 + ...+ 19404 + 19800
A = 1.2+2.3+3.4+4.5+...+98.99+99.100
A= 666600
tính A=1.4+2.5+3.6+...+99.102
A = 1.4 + 2.5 + 3.6 + ... + 99.102
A = 1.(2 + 2) + 2.(3 + 2) + 3.(4 + 2) + ... + 99.(100 + 2)
A = (1.2 + 2.3 + 3.4 + ... + 99.100) + (1.2 + 2.2 + 3.2 + ... + 99.2)
Đặt B = 1.2 + 2.3 + 3.4 + ... + 99.100
3B = 1.2.(3-0) + 2.3.(4-1) + 3.4.(5-2) + ... + 99.100.(101-98)
3B = 1.2.3 - 0.1.2 + 2.3.4 - 1.2.3 + 3.4.5 - 2.3.4 + ... + 99.100.101 - 98.99.100
3B = 99.100.101
B = 33.100.101 = 333300
A = 333300 + 2.(1 + 2 + 3 + ... + 99)
A = 333300 + 2.(1 + 99).99:2
A = 333300 + 100.99
A = 333300 + 9900
A = 343200
Tính A = 1.4 + 2.5 + 3.6 +...+ 99.102
A = 1.4 + 2.5 + 3.6 +...+ 99.102
A = 1(2+2)+2(3+2)+3(4+2)+.+99(100+2)
A = 1.2+1.2+2.3+2.2+3.4+3.2+.+99.100+99.2
A = (1.2+2.3+3.4+.+99.100)+2(1+2+3+.+99)
tính
A=4+12+24+40+......+19404+19800
ngay đó mk mới làm xong
đừng để ý mấy dấu chấm
ta chia A cho 2
=> A/2=1x2+2x3+3x4+.......+99x100
a=66660