Các câu hỏi tương tự
Tính hợp lí:a. A left(frac{112}{13.20}+frac{112}{20.27}+frac{112}{27.34}+.....+frac{112}{62.69}right): left(-frac{5}{9.13}-frac{7}{9.25}-frac{13}{19.25}-frac{31}{19.69}right)b. B frac{2.2016}{1+frac{1}{1+2}+frac{1}{1+2+3}+frac{1}{1+2+3+4}+......+frac{1}{1+2+3+4+.....+2016}}c. C frac{2^{12}.3^5-4^6.9^2}{left(2^2.3right)^6+8^4.3^5}-frac{5^{10}.7^3-25^5.49^2}{left(125.7right)^3+5^9.14^3}Giúp mk vs nha! Mai mk phải nộp rùitks m.n nhìu
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Tính hợp lí:
a. A= \(\left(\frac{112}{13.20}+\frac{112}{20.27}+\frac{112}{27.34}+.....+\frac{112}{62.69}\right)\): \(\left(-\frac{5}{9.13}-\frac{7}{9.25}-\frac{13}{19.25}-\frac{31}{19.69}\right)\)
b. B= \(\frac{2.2016}{1+\frac{1}{1+2}+\frac{1}{1+2+3}+\frac{1}{1+2+3+4}+......+\frac{1}{1+2+3+4+.....+2016}}\)
c. C= \(\frac{2^{12}.3^5-4^6.9^2}{\left(2^2.3\right)^6+8^4.3^5}-\frac{5^{10}.7^3-25^5.49^2}{\left(125.7\right)^3+5^9.14^3}\)
Giúp mk vs nha! Mai mk phải nộp rùi
tks m.n nhìu
Tính tổng:
\(S=\frac{1}{1+2}+\frac{1}{1+2+3}+\frac{1}{1+2+3+4}+...+\frac{1}{1+2+3+4+...+2016+2017}\)
Rút gọn:
\(\frac{2016-\frac{1}{2}-\frac{1}{3}-\frac{1}{4}-...-\frac{1}{2017}}{\frac{1}{2}+\frac{2}{3}+\frac{3}{4}+...+\frac{2015}{2016}}\)
1+frac{1}{2}+frac{1}{2^2}+frac{1}{2^3}+....+frac{1}{2^{2017}}chứng tỏ A12,S2+2^2+2^3+...+2^{99}C/t: S chia hết cho 7, 313,A1+5+5^2+5^3+5^4+5^5+...+5^{99}+5^{100}Tính A4,frac{1}{2^2}+frac{1}{3^2}+frac{1}{4^2}+frac{1}{5^2}+frac{1}{6^2}+frac{1}{7^2}+frac{1}{8^2}15,CHỨNG tỏ rằng các p/s tối giản vs mọi số tự nhiên na,frac{n+1}{2n+3}b,frac{2n+3}{4n+8}6,a,TÍnh A và BAfrac{2016^{2016}+2}{2016^{1016}-1}Bfrac{2016^{2016}}{2016^{2016}-3}b, tínhCfrac{1}{2}+frac{1}{6}+frac{1}{12}+frac{1}{20}+frac{1}{30}+......
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\(1+\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+....+\frac{1}{2^{2017}}\)
chứng tỏ A<1
2,
\(S=2+2^2+2^3+...+2^{99}\)
C/t: S chia hết cho 7, 31
3,
\(A=1+5+5^2+5^3+5^4+5^5+...+5^{99}+5^{100}\)
Tính A
4,
\(\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+\frac{1}{5^2}+\frac{1}{6^2}+\frac{1}{7^2}+\frac{1}{8^2}\)<1
5,
CHỨNG tỏ rằng các p/s tối giản vs mọi số tự nhiên n
a,\(\frac{n+1}{2n+3}\)b,\(\frac{2n+3}{4n+8}\)
6,
a,TÍnh A và B
A=\(\frac{2016^{2016}+2}{2016^{1016}-1}\)B=\(\frac{2016^{2016}}{2016^{2016}-3}\)
b, tính
C=\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+...+\frac{1}{9900}\)
LÀm NHANH Hộ MK ,MAi mk Phải Nộp.
Tính nhanh:a) frac{3^2}{1.4}+frac{3^2}{4.7}+frac{3^2}{7.10}+frac{3^2}{10.13}+frac{3^2}{13.16}+...+frac{3^2}{97.100}b)frac{1}{10}+frac{1}{40}+frac{1}{88}+frac{1}{154}+frac{1}{238}+frac{1}{940}c) A frac{6}{4}+frac{6}{28}+frac{6}{70}+frac{6}{130}+frac{6}{208}d) M (1-frac{1000}{2016}).(1-frac{1001}{2016}).(1-frac{1002}{2016})...(1-frac{2017}{2016})e) A 8400.(frac{1}{1.5}+frac{1}{5.9}+frac{1}{9.13}+frac{1}{13.17}+frac{1}{17.21}+frac{1}{21.25})f) T (frac{1}{2}+1).(frac{1}{3}+1).(frac{1}{4}+1)...(frac...
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Tính nhanh:
a) \(\frac{3^2}{1.4}+\frac{3^2}{4.7}+\frac{3^2}{7.10}+\frac{3^2}{10.13}+\frac{3^2}{13.16}+...+\frac{3^2}{97.100}\)
b)\(\frac{1}{10}+\frac{1}{40}+\frac{1}{88}+\frac{1}{154}+\frac{1}{238}+\frac{1}{940}\)
c) A= \(\frac{6}{4}+\frac{6}{28}+\frac{6}{70}+\frac{6}{130}+\frac{6}{208}\)
d) M= \((1-\frac{1000}{2016}).(1-\frac{1001}{2016}).(1-\frac{1002}{2016})...(1-\frac{2017}{2016})\)
e) A= \(8400.(\frac{1}{1.5}+\frac{1}{5.9}+\frac{1}{9.13}+\frac{1}{13.17}+\frac{1}{17.21}+\frac{1}{21.25})\)
f) T= \((\frac{1}{2}+1).(\frac{1}{3}+1).(\frac{1}{4}+1)...(\frac{1}{98}+1).(\frac{1}{99}+1)\)
h) A=\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{90}\)phần \(\frac{1}{5}+\frac{5}{3}+\frac{5}{6}+\frac{1}{2}+...+\frac{1}{9}\)
Tính: \(\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+\frac{1}{3^4}+...+\frac{1}{3^{2016}}\)
1/Tính nhanhP(1-frac{1}{2^2}) x (1-frac{1}{3^2}) x (1-frac{1}{4^2}) x ... x (1-frac{1}{50^2})2/Cho Q(1-frac{1}{2^2}) x (1-frac{1}{3^2}) x (1-frac{1}{4^2}) x ... x (1-frac{1}{40^2}) . So sánh Q với frac{1}{2}3/So sánh: A frac{2016^{2016}+1}{2016^{2017}+1}và B frac{2016^{2017}-3}{2016^{2018}-3}
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1/Tính nhanh
P=(1-\(\frac{1}{2^2}\)) x (1-\(\frac{1}{3^2}\)) x (1-\(\frac{1}{4^2}\)) x ... x (1-\(\frac{1}{50^2}\))
2/Cho Q=(1-\(\frac{1}{2^2}\)) x (1-\(\frac{1}{3^2}\)) x (1-\(\frac{1}{4^2}\)) x ... x (1-\(\frac{1}{40^2}\)) . So sánh Q với \(\frac{1}{2}\)
3/So sánh: A = \(\frac{2016^{2016}+1}{2016^{2017}+1}\)và B = \(\frac{2016^{2017}-3}{2016^{2018}-3}\)
Tính giá trị biểu thức:
P= 1+\(\frac{1}{2}\)(1+2)+\(\frac{1}{3}\)(1+2+3)+\(\frac{1}{4}\)(1+2+3+4)+...+\(\frac{1}{2016}\)(1+2+3+...+2016)
Tính tổng
\(A=\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+...+\frac{1}{100}\)
\(B=\frac{2}{3}+\frac{3}{4}+\frac{4}{5}+...+\frac{2015}{2016}\)