Cho x1+×2+×3....+×50+×51=0va ×1+×2=×3+×4=×5+×6=.. ..=×49+×50=1 tinh x50 ghi chu ; so 1; 2....chi la so thu tu.
cho x1+x2+x3+..+x50=0va x1+x2-x3+x4=x5+x6=...=x49+x50=x50+x51tinh x50
cho x1+x2+x3+...+x49+x50+x51=0va x1+x2=x3+x4=...=x47+x48=x49+x50=x50+x51=1.tinh x50
(x1 + x2) + (x3 + x4) +..... + (x49 + x50) + x51
= 1 + 1+ 1 + .... + 1 + x51 = 0
= 25 + x51 = 0
x51 = 0 - 25
x51 = -25
x1+x2+x3+...+x50+x51=0
=>(x1+x2)+(x3+x4)+...+(x49+x50)+x51=0
=>1+1+1+...+1+x51=0
=>25+x1=0
=>x51=-25
=>x50=1-(-25)=26
x1+x2+x3+x4+x5+...+x47+x48+x49+x50+x51=0
25+x51=0
=> x51=-25
=>x50=26
Tinh
A=1×2×3+2×3×4+3×4×5+...+98×99×100
B=1×3+2×4+3×5+4×6+...+49×51+48×50
Tính :
D = 2 . 3 + 4 . 5 + 6 . 7 + ... + 50 . 51
E = 1 . 99 + 2 . 98 + 3 . 97 + ... + 49 . 51 + 50 . 50
D = 2 . 3 + 4 . 5 + 6. 7 + ... + 50 . 51 = 150,850
E = 1 . 99 + 2 . 98 + 3 . 97 + ... + 49 . 51 + 50 .50 = 82,464
Tick nha
1 - 2 - 3 + 4 - 5 - 6 + 7 - 8 - 9 +.....+ 49 - 50 - 51
Đặt A=1-2-3+4-5-6+7-8-9+...+49-50-51
A=(1-2-3)+(4-5-6)+(7-8-9)+...+(49-50-51)
A=(-4)+(-7)+(-10)+...+(-52)
SSH trong dãy là: (52-4):3+1=17
Tổng là: [(-52)+(-4)].17:2=-476
Chúc bạn học tốt
Tính
S=1*3+2*4+3*5+4*6+...+49*51+50*52
S = 1 x 3 + 2 x 4 + 3 x 5 + 4 x6 + ...+ 49 x 51 + 50 x 52
S = ( 1 x3 + 3 x5 + ..+ 49x51) + (2x4+4x6+...+50x52)
Đặt A = 1x3+3x5+...+49x51
=> 6A = 1x3x6+3x5x6+...+49x51x6
6A = 1x3x(5+1) + 3x5x(7-1) + ...+ 49x51x(53-47)
6A = 1x3x5 + 1x3 + 3x5x7 - 1x3x5 + ...+ 49x51x53 - 47x49x51
6A = (1x3 + 1x3x5 + 3x5x7+...+49x51x53) - (1x3x5+...+47x49x51)
6A = 1x3 + 49x51x53
A = 22 075
Tương tự như trên ta có: B = 2x4 + 4x6 + ...+ 50x52
B = 23 400
Thay B ;A vào S
S = 22 075 +23 400
S = 45 475
S = 1 x 3 + 2 x 4 + 3 x 5 + 4 x6 + ...+ 49 x 51 + 50 x 52
S = ( 1 x3 + 3 x5 + ..+ 49x51) + (2x4+4x6+...+50x52)
Đặt A = 1x3+3x5+...+49x51
=> 6A = 1x3x6+3x5x6+...+49x51x6
6A = 1x3x(5+1) + 3x5x(7-1) + ...+ 49x51x(53-47)
6A = 1x3x5 + 1x3 + 3x5x7 - 1x3x5 + ...+ 49x51x53 - 47x49x51
6A = (1x3 + 1x3x5 + 3x5x7+...+49x51x53) - (1x3x5+...+47x49x51)
6A = 1x3 + 49x51x53
A = 22 075
Tương tự như trên ta có: B = 2x4 + 4x6 + ...+ 50x52
B = 23 400
Thay B ;A vào S
S = 22 075 +23 400
S = 45 475
tinh tong s=1*100+2*99+3*98+..+49*51+50*50
Cho x1+x2+x3+...+x49+x51=0 và x1+x2=x3+x4=x5+x6=...=x49+x50=x50+x51=1 .Tính x50 = ?
(x\(_1\)+x\(_2\))+(x\(_3\)+x\(_4\))+...+(x\(_{49}\)+x\(_{50}\))+(x\(_{50}\)+x\(_{51}\))=1+x\(_{50}\)
1+1+...+1+1=1+x\(_{50}\)
1+1+...+1+1=26(vì ta có 52 số hạng gồm thêm x\(_{50}\))
26=1+x\(_{50}\)
suy ra :25=x\(_{50}\)
1*2*3+2*3*4+3*4*5+......+49*50*51