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= 16781312 + 1 = 16781313
k tớ nhé
k ết bạn nha
li -ke cho tớ thật nhiều tuần sau li -ke lại cho
A = 1+2+4+8+...+8192
A = 20 + 21 + 22 + 23 +...+213
2A = 21+22+23+24+...+214
2A - A = 214 - 20
=> A = 214 - 1
vạy bai fnayf
là cách giải vậy à
cảm ơn các
bn nhé
A = 1+2+4+8+...+8192
A = 2 0 + 2 1 + 2 2 + 2 3 +...+2 13
2A = 2 1+2 2+2 3+2 4+...+2 14
2A ‐ A = 2 14 ‐ 2 0
=> A = 2 14 ‐ 1
Đặt tổng trên = A
\(A=1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+...+\frac{1}{4096}+\frac{1}{8192}\)
\(A.2=2+1+\frac{1}{2}+\frac{1}{4}+...+\frac{1}{2048}+\frac{1}{4096}\)
\(A.2-A=\left(2+1+\frac{1}{2}+\frac{1}{4}+...+\frac{1}{2048}+\frac{1}{4096}\right)-\left(1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+...+\frac{1}{4096}+\frac{1}{8192}\right)\)
\(A=2-\frac{1}{8192}=\frac{16383}{8192}\)
Đặt A = 1 + 1/2 + 1/4 + 1/8 + ... + 1/4096 + 1/8192
2A = 2 + 1 + 1/2 + 1/4 + ... + 1/2048 + 1/4096
2A - A = (2 + 1 + 1/2 + 1/4 + ... + 1/2048 + 1/4096) - (1 + 1/2 + 1/4 + 1/8 +... + 1/4096 + 1/8192)
A = 2 - 1/8192
A = 16383/8192
A=1+2+2^2+...+2^13
=>2A=2+2^2+...+2^14
=>2A-A=2^14-1
=>A=2^14-1
\(\frac{\left(\frac{1}{2}\right)^2.2018-\left(\frac{1}{4}\right)^2.2017}{\frac{1}{4096}.\frac{1}{3}+2^{13}}\)
=
\(\frac{\left(\frac{1}{2}\right)^2.2018-\left(\frac{1}{4}\right)^6.2017}{\frac{1}{4096}.\frac{1}{3}+2^{13}}\)\(\Leftrightarrow\frac{\left(\frac{1}{4}\right).2018-\left(\frac{1}{4096}\right).2017}{\frac{1}{4096}.\frac{1}{3}+2^{13}}\)
Lược bỏ các số giống nhau đi ta được :
\(\frac{\left(\frac{1}{4}\right).2018.2017}{\frac{1}{3}+2^{13}}\Leftrightarrow\frac{\left(\frac{1}{4}\right).2018.2017}{\frac{1}{3}.8192}\Leftrightarrow\frac{\frac{1}{4}.4070306}{\frac{8192}{3}}\)
\(=\frac{1017576,5}{\frac{8192}{3}}\)
a) \(\left(8^{2019}-8^{2018}\right):\left(8^{2016}.8^2\right)\)
\(=8^{2018}\left(8-1\right):8^{2016+2}\)
\(=8^{2018}.7:8^{2018}=7\)
b) Em tham khảo link : Câu hỏi của ✽❤Girl cute❤✽ - Toán lớp 6 - Học toán với OnlineMath
\(A=49\frac{8}{23}-\left(5\frac{7}{32}+14\frac{8}{23}\right)\)
\(A=49\frac{8}{23}-5\frac{7}{32}+14\frac{8}{23}\)
\(A= \left(49\frac{8}{23}-14\frac{8}{23}\right)-5\frac{7}{32}\)
\(A=\left[\left(49-14\right)-\left(\frac{8}{23}-\frac{8}{23}\right)\right]-5\frac{7}{32}\)
\(A=\left[35-0\right]-5\frac{7}{32}\)
\(A=35-5\frac{7}{32}\)
\(A=\frac{953}{32}\)
\(B=71\frac{38}{45}-\left(43\frac{38}{45}-1\frac{17}{57}\right)\)
\(B=71\frac{38}{45}-\frac{36377}{855}\)
\(B=\frac{1670}{57}\)
\(C=\left(19\frac{5}{8}:\frac{7}{12}-13\frac{1}{4}:\frac{7}{12}\right):\frac{4}{5}\)
\(C=\left[\left(19\frac{5}{8}-13\frac{1}{4}\right):\frac{7}{12}\right]:\frac{4}{5}\)
\(C=\left[\frac{51}{8}:\frac{7}{12}\right]:\frac{4}{5}\)
\(C=\frac{153}{14}:\frac{4}{5}\)
\(C=\frac{765}{56}\)
\(D=\left[\left(\frac{10}{15}-\frac{2}{3}\right):\frac{1}{7}\right]\cdot0,15-\frac{1}{4}\)
\(D=\left[0:\frac{1}{7}\right]\cdot\frac{3}{20}-\frac{1}{4}\)
\(D=0\cdot\frac{3}{20}-\frac{1}{4}\)
\(D=0-\frac{1}{4}\)
\(D=-\frac{1}{4}\)
\(E=\frac{13}{30}+\frac{28}{45}\cdot2\frac{1}{2}-\left[\left(\frac{1}{2}+\frac{1}{3}\right):\frac{53}{90}\right]:\frac{50}{53}\)
\(E=\frac{13}{30}+\frac{28}{45}\cdot\frac{5}{2}-\left[\frac{5}{6}:\frac{53}{90}\right]:\frac{50}{53}\)
\(E=\frac{13}{30}+\frac{28}{45}\cdot\frac{5}{2}-\frac{75}{53}:\frac{50}{53}\)
\(E=\frac{13}{30}+\frac{14}{9}-\frac{3}{2}\)
\(\)\(E=\frac{22}{45}\)
CHUC BAN HOC TOT >.<
trong tương tự a bạn:
S = 1 + 2 + 2x2 + 2x2x2 + ... +2x2x..x2 (13 thừ sô nhân 2)
2S = 2 + 2x2 +2x2x2 +..+2x2x2x..x2 (14 thùa số)
2S - S = 2 + 2x 2 + 2x 2x 2 + .. +2x2x2..x2(14 số x2 ) - 1 - 2 - 2x2 - 2x 2 - ... - 2x2x2..x2 ( 13 thừa số nhân 2)
S = 2x2x2x..x2 (14 thùa soos) - 1
S = 16384 - 1 = 16383
ĐẶt A = 1 + 2 + 4 + 8 +.. + 4096 + 8192
A = 2^0 + 2^1 + 2^2 + 2^3 +...+ 2^12 + 2^13
2A = 2^1 + 2^2 + ... + 2^13 + 2^14
2A - A = 2^1 + 2^2 +...+2^13 + 2^14 - 2^0 - 2^1 - 2^2 -... - 2^13
A = 2^14 - 1