2+22+23+24+-.+229+230
Chứng tỏ nó chia hết cho 3 và 7
Help Me!!!
giúp người là việc tốt,vậy nên các bạn giúp mk nhé,mk cảm ơn trước!!!
Ta có:
\(2+2^2+2^3+2^4+...+2^{29}+2^{30}\)
\(=\left(2+2^2\right)+\left(2^3+2^4\right)+...+\left(2^{29}+2^{30}\right)\)
\(=2.\left(1+2\right)+2^3.\left(1+2\right)+...+2^{29}.\left(1+2\right)\)
\(=2.3+2^3.3+...+2^{29}.3\)
\(\Rightarrow\left(2+2^2+2^3+...+2^{30}\right)⋮3\)
Ta lại có:
\(=\left(2+2^2+2^3\right)+\left(2^4+2^5+2^6\right)+...+\left(2^{28}+2^{29}+2^{30}\right)\)
\(=2.\left(1+2+2^2\right)+2^4.\left(1+2+2^2\right)+...+2^{28}.\left(1+2+2^2\right)\)
\(=2.7+2^4.7+...+2^{28}.7\)
\(\Rightarrow\left(2+2^2+2^3+2^4+...+2^{29}+2^{30}\right)⋮7\)
Nhờ mọi người giúp mình vs!
Tìm x thuộc Q khi:
a)3x-1 =243
b)\(\left(\dfrac{2}{3}\right)^{x+1}=\dfrac{8}{4}\)
c) 3x+3x+2=270
d) \(\left(x-\dfrac{5}{2}\right)^2=144\)
e) \(\left(2x+1\right)^3=\dfrac{215}{27}\)
f) (2x-1)5 = -243
h) (27-1)2 = (2x-1)2
i) (2x+1)2 + (x+1)10 = 0
k) \(\dfrac{x-2}{5}=\dfrac{X+3}{2}\)
l) \(\dfrac{2}{x}=\dfrac{x}{50}\)
m) \(\dfrac{\left(x-3\right)}{4}=\dfrac{4}{x+3}\)
n) \(|x+\dfrac{3}{5}|-|x-\dfrac{7}{3}|\)
3) tìm x:
a) \(x^2=\dfrac{1}{16}\)
b)\(x^5\div x^2=\dfrac{-1}{64}\)
c)\(x^3\div x^2=\dfrac{32}{243}\)
d)\(\left(x^2\right)^2=\dfrac{81}{16}\)
Tìm x, biết:
\(\left(4x-3\right)^2=\left(4x-3\right)\)
Giúp mik nha.
Chìu nay mik nộp rồi .
\(\dfrac{2^{15}.9^4}{6^6.8^3}\)
bài 1 cho B = \(\dfrac{1}{2}+\left(\dfrac{1}{2}\right)^2+...+\left(\dfrac{1}{2}\right)^{99}\)
CMR :
a) B <1
b) B ko là số nguyên
Tìm n \(\in\) N biết: \(3^n.2^n=216\)
1,Tìm x thuộc Q biết
a,\(\left(3x-1\right)^4=81\)
b,\(\left(x+1\right)^5=32\)
Chung minh rang
a,76+75-74\(⋮\)11
b,109+108+107\(⋮\)222
a) (0, 5)2
b) (0, 5)3
c) (9, 7)0
So sánh :
\(\dfrac{2^{2010}+1}{2^{2007}+1}\) và\(\dfrac{2^{2012}+1}{2^{2009}+1}\)
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