Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
S=\(2^4+2^5+2^6+...+2^{25}\)
2S=\(2^5+2^6+2^7+...+2^{26}\)
2S-S=\(2^{26}-2^4\)
S=\(2^{26}-16\)
Vậy S<\(2^{26}-15\)
\(S=1+2+2^2+...+2^{2005}\\ 2S=2+2^2+...+2^{2006}\\ 2S-S=S=2^{2006}-1< 2^{2006}+2^{2004}=2^2\cdot2^{2004}+2^{2004}=5\cdot2^{2004}\)
Ta có :
\(S=\frac{3}{2}+\frac{4}{3}+\frac{5}{4}+\frac{6}{5}+\frac{7}{6}+\frac{8}{7}+\frac{9}{8}+\frac{10}{9}+\frac{11}{10}+\frac{12}{11}\)
\(S=\frac{2+1}{2}+\frac{3+1}{3}+\frac{4+1}{4}+...+\frac{11+1}{11}\)
\(S=\left(1+\frac{1}{2}\right)+\left(1+\frac{1}{3}\right)+\left(1+\frac{1}{4}\right)+...+\left(1+\frac{1}{11}\right)\)
\(S=\left(1+1+1+...+1\right)+\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{11}\right)\)
\(S=10+\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{11}\right)>10\)
\(\Rightarrow\)\(S>10\)
Vậy \(S>10\)
Chúc bạn học tốt ~
S=24+25+...+225
=> 2S=2(24+25+...+225)
=> 2S=25+26+...+226
=> 2S-S=(25+26+...+226)-(24+25+...+225)
=> S=226-24
=> S=226-16
Vì 226-15 > 226-16
=> S < 226-15
\(S=2^4+2^5+2^6+....+2^{24}+2^{25}\)
\(\Rightarrow2S=2^5+2^6+2^7+....+2^{25}+2^{26}\)
\(\Rightarrow2S-S=S=2^{26}-2^4=2^{26}-16\)
\(2^{26}-16< 2^{26}-15\)
\(\Rightarrow S< 2^{26}-15\)