Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(=100-4\times25-3\times2^3\)
\(=100-100+3\times8\)
\(=0+24\)
\(=24\)
câu 2:
x=(-3;-2-1;0;1;2;3;4)
=(-3)+(-2)+(-1)+0+1+2+3+4
=(-3+3)+(-2+2)+(-1+1)+0+4
=0 +0+0+0+4
=4
nhớ tick cho mình nha bạn
Gọi 1+2+22+....+2100 là A
Ta có:
A=1+2+22+....+2100
2A=2+22+23+...+2101
2A-A=(2+22+23+...+2101)-(1+2+22+23+...+2100)
A=2101-1
a) \(4.5^2-81:3^2=4.25-81:9=100-9=91\)
b) \(3^3.23-3^3.19=3^3.\left(23-19\right)=27.4=108\)
c) \(2^4.5-[131-\left(13-4\right)^2]=16.5-\left(131-9^2\right)=80-\left(131-81\right)=80-50=30\)
d) \(100:\left\{250:\left[450-\left(4.5^3-2^2.25\right)\right]\right\}\)
\(=100:\left\{250:\left[450-4.\left(125-25\right)\right]\right\}\)
\(=100:\left[250:\left(450-4.100\right)\right]\)
\(=100:\left[250:\left(450-400\right)\right]=100:\left(250:50\right)=100:5=20\)
a) 7.(x-5) +2 = 51
=> 7.(x-5) = 49
=> x-5 = 7
=> x= 12
b)\(\left(4^3-11.x\right).5^3=4.5^4\)
\(\Rightarrow\left(64-11.x\right).125=2500\)
\(\Rightarrow64-11.x=20\)
\(\Rightarrow11.x=44\)
\(\Rightarrow x=4\)
A=1.2.3+2.3.4+3.4.5+...+n(n+1)(n+2)
suy ra 4A=1.2.3(4-0)+2.3.4(5-1)+...+n(n+1)(n+2)((n+3)-(n-1))
=1.2.3.4-0.1.2.3+2.3.4.5-1.2.3.4+...+n(n+1)(n+2)(n+3)-(n-1).n(n+1)(n+2)
=n(n+1)(n+2)(n+3)
Đặt ak = k.(k+1).(k+2)
4a1 = 1.2.3.3-0.1.2.3
4a2 = 2.3.4.3-1.2.3.3
………….
4an-1 = (n-1).n.(n+1).(n+2)-(n-2).(n-1).n.(n+1)
4an = n.(n+1).(n+2).(n+3)-(n-1).n.(n+1).(n+2)
Cộng từng vế n, ta được:
4(a1+a2+a3+………….+an) = n.(n+1).(n+2).(n+3)
4[1.2.3+2.3.4+3.4.5+………………..+n.(n+1).(n+2)] = n.(n+1).(n+2).(n+3)
=> A = \(\frac{n.\left(n+1\right).\left(n+2\right).\left(n+3\right)}{4}\)
1) Ta có: \(80-\left(5.4^2-4.2^3\right)\)
\(=80-\left(80-32\right)\)
\(=80-80+32\)
\(=32\)
2) \(60-\left[120-\left(42-33\right)^2\right]\)
\(=60-\left(120-9^2\right)\)
\(=60-120+81\)
\(=21\)
\(a,80-\left(5.4^2-4.2^3\right)\)
\(=80-\left(80-32\right)\)
\(=80-80+32\)
\(=32\)
\(b,60-\left[120-\left(42-33\right)^2\right]\)
\(=60-\left(120-9^2\right)\)
\(=60-39\)
\(=21\)
a) 52.x = 62 + 82
=> 25 .x = 36 + 64
=> 25.x = 100
=> x = 100 : 25
=> x = 4
b) (22 + 42).x + 24 . 5x = 100
=> (4 + 16).x + 16.5x = 100
=> 20x + 80x = 100
=> 100x = 100
=> x = 100 : 100 = 1
c) 24 : x = 26
=> x = 24 : 26
=> x = 2-2 = 1/4
d) 33x + 23x = 102
=> 27x + 8x = 100
=> 35x = 100
=> x = 100 : 35
=> x = 20/7
\(=80-100+24=4\)
=55