227 - 5 . ( x + 8 ) = 2187 : 9
5 +5/3+5/9+5/27+...+5/729+5/2187
5+5/3+5/9+5/29+...+5/729+5/2187=
x : 1/3 + x : 1/9 + x : 1/27 +...+ x : 1/2187 = 9837
<=>3x+9x+27x+81x+243x+729x+2187x = 9837
<=>3279 x = 9837
<=>x=3
Tính tổng:
C=1+2+4+8+...+1024
D=1+3+9+27+...+2187
C = 1 + 2 + 4 + 8 + ... + 1024
2 x C = 2 + 4 + 8 + ... + 1024 + 2048
2 x C - C = C = (2 + 4 + 8 + ... + 1024 + 2048) - (1 + 2 + 4 + 8 + ... + 1024) = 2048 - 1 = 2047
D = 1 + 3 + 9 + 27 + ... + 2187
3 x D = 3 + 9 + 27 + ... + 2187 + 6561
3 x D - D = 2 x D = (3 + 9 + 27 + ... + 2187 + 6561) - (1 + 3 + 9 + 27 + ... + 2187) = 6561 - 1 = 6560
D = 6560 : 2 = 3280
a)S = 1 + 1/3 + 1/9 + 1/27 + ..................... + 1/2187
b)S = 1 + 1/2 + 1/4 + 1/8 + ..................... + 1/128 + 1/256
c)A = 1 + 2 + 4 + 8 + ..................... + 4096 + 8192
d)1/1 x2 + 1/ 2 x 3 + 1/ 3 x 4 + ................. + 1/ 2013 x 2014
h)A = 1/1 x3 + 1/ 3 x 5 + 1/ 5 x 7 + ................. + 1/ 2013 x 2015
bai2a)1/ 2 x (1 + 2) + 1/ 2 x (1 + 2 + 3) + ............ + 1/2 x (1 + 2 + 3 + ....... + 9)
ai nhanh tick đúng nha
\(a)\) \(S=1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+...+\frac{1}{2187}\)
\(S=1+\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+...+\frac{1}{3^7}\)
\(3S=3+1+\frac{1}{3}+\frac{1}{3^2}+...+\frac{1}{3^6}\)
\(3S-S=\left(3+1+\frac{1}{3}+\frac{1}{3^2}+...+\frac{1}{3^6}\right)-\left(1+\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+...+\frac{1}{3^7}\right)\)
\(2S=3+\frac{1}{3^7}\)
\(2S=\frac{3^8+1}{3^7}\)
\(S=\frac{3^8+1}{3^7}.\frac{1}{2}\)
\(S=\frac{3^8+1}{2.3^7}\)
Vậy \(S=\frac{3^8+1}{2.3^7}\)
Chúc bạn học tốt ~
1.Tính tổng: 1/3+1/9+1/27+...+1/2187
2. Tìm x: (1/3+1/15+1/35+1/83)× x= 4/3
1+3+9+27+....+2187+6561
1+3+9+27+....+2187+6561
đặt A = 1+3+9+27+....+2187+6561
=>A = 30 + 31 + 32 + 33 + .. . +37 + 38
3A = 31 + 32 + 33 + ... + 38 + 39
3A - A = (31 + 32 + 33 + ... + 38 + 39)-(30 + 31 + 32 + 33 + .. . +37 + 38 )
2A = 39 - 1
A=\(\frac{3^9-1}{2}=\frac{19682}{2}=9841\)
Câu hỏi của nguyenphucthang - Toán lớp 4 - Học toán với OnlineMath
227-5.(x+8)=36:33