cho B=1/2+(1/2)2+(1/2)3+(1/2)4+...+(1/2)2014+(1/2)2015
Chung minh rang :B<1
Những câu hỏi liên quan
a,A=1/1^2+1/2^2+1/3^2+1/4^2+...+1/50^2.chung minh rang a<2
b;2^1+2^2+2^3+...+2^30.chung minh rang B chia het cho21
1) Thuc hien phep tinh:
a) 4^6 × 9^2 / 6^3 × 8^2
b) 5^6 × 15^4 /5^4 × 3^3
c) 3^9 - 2^3 × 3^7 + 2^10 × 3^2 - 2^13 / 3^10 - 2^2 × 3^7 + 2^10 × 3^3 - 2^12
d) (1/9)^10 : (1/3)^20
e) (1/64)^5 × (1/4)^7
2) Chung minh rang:
a)2014^100+2014^99 chia het cho 2015
b) 4^13+32^5-8^8 chia het cho 5
c) 81^27-27^9-9^13 chia het cho 405
Help me!! Pleass!!
cho A=1/2^2+1/3^2+1/4^2+...+1/2014^2 biệt B= -1/2 chứng minh A=B mấy bạn giải hộ mình, tks
cho A=(2014+1)x(2014+2)x(2014+3)x.....x(2014+2014) chung minh rang 22014
chung minh rang:
a,1/3+1/3^2+1/3^3+...+1/3^2014<1/2
cho A=1/2^2+1/3^2+1/4^2+...+1/2014^2 biệt B= -1/2 chứng minh A=B mấy bạn giải hộ mình, tks
chung to rang B=1/2^2+1/3^2+1/4^2+1/5^2+1/6^2+1/7^2+1/8^2<1
ai lam duoc minh tick cho
Ta thấy:
\(\frac{1}{2^2}< \frac{1}{1.2}\)
\(\frac{1}{3^2}< \frac{1}{2.3}\)
........................
\(\frac{1}{8^2}< \frac{1}{7.8}\)
\(\Rightarrow B< \frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{7.8}=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{7}-\frac{1}{8}=1-\frac{1}{8}< 1\)
Vậy B < 1
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cho B=1/2+(1/2)^2+(1/2)^3+...+(1/2)^2014+(1/2)^2015
chứng minh rằng: B<1
cho A=1/3^2-1/3^4+1/3^6-1/3^8+...+1/3^2014-1/3^2016 . Chung minh rang A < 0,1 . Hay tong quat bai toan
Minh dang can gap
1/3^2-1/3^4=3^2/3^4-1/3^4=8/3^4
1/3^6-1/3^8=1./3^4.8/3^4=8/3^8
1/3^2014-1/3^2016=8/3^2004
A/8=1/3^4+1/3^8+...+..1/3^2004
A/(8.3^4)=1/3^8+1/3^12+..+1/3^2008
A(1/8-1/(8.3^4)=1/3^4-1/3^2008=(3^2004-1)/3^2008
10.A(1/3^4)=...
10A=(3^2004-1)/3^2004<1
vậy A<1/10=0,1
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