(x+1)+(x-2)+(x+3)+...+(x+99)+(x-100)=50
Tìm x: (x+1)+(x+2)+(x+3)+...+(x+99)+(x+100)=50
(x+1)+(x+2)+(x+3)+...+(x+99)+(x+100)=50
100x+5050=50
100x=-5000
x=-50
Thu gọn biểu thức:
A = 10 + 11 + 12 + ... + 100
B = 10 + 12 + ... + 200
C = 11 + 13 + ... + 99
D = 1 + 4 + 7 + ... + 100
E = 1 x 2 + 2 x 3 + ... + 49 x 50
F = 1 x 2 x 2 + 2 x 3 x 4 + ... + 48 x 49 x 50
Tính nhanh: a) ( 68 x 72 x 49) x ( 27 x 12 – 9 x 36 )
b) ( 25 x 50 – 125 x 10 ) x ( 1 + 2 + 3 + ……….. + 99 + 100
a: \(=68\cdot72\cdot49\cdot\left[324-324\right]=0\)
b: \(=\left(1250-1250\right)\cdot\left(1+...+100\right)=0\)
\(a,\left(68\times72\times49\right)\times\left(27\times12-9\times36\right)=\left(68\times72\times49\right)\times0=0\\ b,\left(25\times50-125\times10\right)\times\left(1+2+...+100\right)=0\times\left(1+2+...+100\right)=0\)
a, ( 68 × 72 × 49 ) × ( 27 × 12 − 9 × 36 ) = ( 68 × 72 × 49 ) × 0 =
b, ( 25 × 50 − 125 × 10 ) × ( 1 + 2 + ... + 100 ) = 0 × ( 1 + 2 + ... + 100 ) = 0
Chứng tỏ (x-2)+(x-4)+(x-6)+...+(x-100) chia hết 25
Chứng tỏ ( x-1)+(x-3)+(x-5)+...+(x-99) chia hết 50
Tìm x :
( 100 - 99 + 98 - 97 + 96 - 95 + .......+ 4 - 3 + 2 - 1 ) : 50 + 2010 - 12 x X = 91
(1+1+1+.............+1+1):50+2010-12xX=91
(1x50):50+2010-12xX
50:50+2010-12xX=91
1+2010-12xX=91
2011-12xX=91
12xX=2011-91
12xX=1920
x=1920:12
x=160
B2: tìmX
A.13 x X+ 14 x X=50
B. ( X+2) +( X+4) +…+ (X+ 100)=3550
C.(1- X)+(2- X)+ (3- X)+…+ (100- X)=50
D. ( X+1)+(2x X+3)+(3 x X+5)+…+(50 x X +99)= 3775
K. 5 x X-(1+2+3+…+30)=135
M. X- 165
+ 546= 562
X
A. \(13x+14x=50\)
\(\Leftrightarrow17x=50\)
\(\Leftrightarrow x=\frac{50}{17}\)
a) 13x+14x = 50
=> x.(13+14)=50
x+27=50
x = 50-27
x=23 ( bài này ko chắc lắm )
b) (x+2)+(x+4)+...+(x+100)=3550
=> có 50 cặp như vậy
(x+x+x+...+x)+(2+4+...+100)=3550
<=>50x+2550=3550
50x=3550-2550
50x=1000
x=1000:50
x=20
c) (1-x)+(2-x)+...+(100-x)=50
=> có 100 như vậy
(1+2+3+...+100)-(x+x+x+...+x)=50
<=>5050-100x=50
100x=5050-50
100x=5000
x=5000:100
x=50
d) để mình nghĩ cách làm lại đã rồi mình sẽ trả lời lại sau
k) 5x-(1+2+3+...+30)=135
5x-465=135
5x=135+465
5x=600
x=600:5
x=120
m) \(\frac{x-165}{x}\)+546=562
\(\frac{x-165}{x}\)=562-546
\(\frac{x-165}{x}\)=16
\(\Rightarrow\frac{x-165}{x}=\frac{16}{1}\)
<=> x-165=16
x=16+165
x=181 ( ko chắc )
d) (1x+1)+(2x+3)+(3x+5)+...+(50x+99)=3775
<=> (1x+2x+3x+...+50x)+(1+3+5+...+99)=3775
=> (1x+2x+3x+...+50x)+2500=3775
=> (1x+2x+3x+...+50x)=3775-2500
=> (1x+2x+3x+...+50x)=1275
<=> [x(1+2+3+...+50)]=1275
=> x.1275=1275
x=1275:1275
x=1
Bài 1:a)Tính giá trị biểu thức :
A = 3^100 . (-2) + 3^101 / (-3)^101 - 3^100 b) 1/50 + 1/51 + ... + 1/99
b) Tìm x,biết 3^x + 3^x+1 3^x+2 + ... + 3^2017= 3^2020 - 9 / 2
ai nhanh mk K ạ.
A = \(\dfrac{3^{100}.\left(-2\right)+3^{101}}{\left(-3\right)^{101}-3^{100}}\)
A = \(\dfrac{3^{100}.\left(-2\right)+3^{100}.3}{\left(-3\right)^{100}.\left(-3\right)-3^{100}}\)
A = \(\dfrac{3^{100}.\left(-2+3\right)}{3^{100}.\left(-3\right)-3^{100}}\)
A = \(\dfrac{3^{100}.1}{3^{100}.\left(-3-1\right)}\)
A = \(\dfrac{3^{100}}{3^{100}}\) . \(\dfrac{1}{-4}\)
A = - \(\dfrac{1}{4}\)
1) Chứng tỏ (2 + 22 + 23 + ...... + 299 + 2100) chia hết cho 15
2) 5x+1- 5x = -102
3) (x-1) + (x-2)+......+(x-99) + (x-100) = 50
Các bạn hãy giúp mình
1) 2 + 22 + 23 + 24 + 25 +...+ 2100
= ( 2 + 22 + 23 + 24 ) +....+ ( 296 + 297 + 298 + 299 + 2100)
= 2. ( 1 + 2 + 4 + 8) +...+ 296. ( 1 + 2 + 4 + 8)
= 2. 15 +...+ 296.15
= 15. ( 2+...+ 296) chia hết cho 15
=> Vậy tổng trên chia hết cho 15.
1 tính tổng các số nguyên x biết
1/ -20<x<21
2/ -18 ≤ x ≤17
3/ -27 < x ≤ 27
4/ | x | ≤ 3
5/ | -x | <5
2 tính tổng
1/ 1+(-2)+3+(-4)+...+19+(-20)
2/ 1-2+3-4+...+99-100
3/ 2-4+6-8+...+48-50
4/ -1+3-5+7-....+97-99
5/ 1+2-3-4+....+97+98-99-100