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số các số hạng là : (2187 - 1): 2 +1 = 1094
a = (1+2187) x 1094 : 2 = 1196836
1/3+1/9=3/9+1/9=4/9+1/27=12/27+1/27=13/27+181=39/81+1/81=40/81+1/243=120/243+1/243=121/243+1/729=363/729+1/729=364/729
Đặt S=\(\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}+\frac{1}{243}+\frac{1}{729}\)
3S=\(1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}+\frac{1}{243}\)
3S-S=\(1-\frac{1}{729}\)
2S=\(\frac{728}{729}\)
S=\(\frac{728}{729}:2\)
S=\(\frac{364}{729}\)
Câu trả lời hay nhất: Đặt A = 1/3 + 1/9 + 1/27 + 1/81 + 1/243 + 1/729
A x 3 = 3 x (1/3 + 1/9 + 1/27 + 1/81 + 1/243 + 1/729)
= 1 + 1/3 + 1/9 + 1/27 + 1/81 + 1/243
A x 3 - A = 1 + 1/3 + 1/9 + 1/27 + 1/81 + 1/243 - (1/3 + 1/9 + 1/27 + 1/81 + 1/243 + 1/729)
= 1 + 1/3 + 1/9 + 1/27 + 1/81 + 1/243 - 1/3 - 1/9 - 1/27 - 1/81 - 1/243 - 1/729
= 1 - 1/729
A x 2 = 728/729
A = 364/729
\(\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}+\frac{1}{243}+\frac{1}{729}\)
\(=\frac{243}{729}+\frac{81}{729}+\frac{27}{729}+\frac{9}{729}+\frac{3}{729}+\frac{1}{729}\)
\(=\frac{4}{9}+\frac{27}{729}+\frac{9}{729}+\frac{3}{729}+\frac{1}{729}\)
\(=\frac{13}{27}+\frac{9}{729}+\frac{3}{729}+\frac{1}{729}\)
\(=\frac{40}{81}+\frac{3}{729}+\frac{1}{729}\)
\(=\frac{121}{243}+\frac{1}{729}\)
\(=\frac{364}{729}\).
Ủng hộ nha !
A= 1/3+1/9+1/27+1/81+1/243+1/729
A= (1-1/3)+(1/3-1/9)+(1/9-1/27)+(1/27-1/81)+(1/81-1/243)+(1/243-1/729)
A= 1-1/3+1/3-1/9+1/9-1/27+1/27-1/81+1/81-1/243+1/243-1/729
Triệt tiêu từ 1/3 đến 1/243
A= 1-1/729
A = 729/729 - 1/729= 91
Đ/S 9 mình nha
A=1/3+1/9+1/27+1/81+1/243+1/729
3A=1+1/3+1/9+1/27+1/81+1/243
3A-A=(1+1/3+1/9+1/27+1/81+1/243)-(1/3+1/9+1/27+1/81+1/243+1/729)
3A-A=1-1/3+1/3-1/9+1/9-1/27+1/27-1/81+1/81-1/243+1/243-1/729)
2A=1-1/729
2A=728/729
A=728/729/2
A=364/729
Chúc bạn học tốt :))
1+1/3+1/9+1/27+1/81+1/243+1/729
=1+243/729+81/729+27/729+9/729+3/729+1/729
=1+364/729
=1075/729
\(M=1+\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+\frac{1}{3^4}+\frac{1}{3^5}+\frac{1}{3^6}\)
\(\Rightarrow3M=3+1+\frac{1}{3^2}+\frac{1}{3^3}+\frac{1}{3^4}+\frac{1}{3^5}\Rightarrow3M-M=3-\frac{1}{3^6}\Rightarrow2M=\frac{2186}{729}\)
\(\Rightarrow M=\frac{1093}{729}\).Nhớ LIKE nha
\(A=1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}+\frac{1}{243}+\frac{1}{729}\)
\(A=\frac{4}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}+\frac{1}{243}+\frac{1}{729}\)
\(A=\frac{12}{9}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}+\frac{1}{243}+\frac{1}{729}\)
Từ chỗ này làm dễ hơn rồi bạn tự làm tiếp đi nhé
729 : ( y x 9 ) = 27
y x 9 = 729 : 27
y x 9 = 27
y = 27 : 9
y = 3
Chúc bạn học tốt >w<
\(729:\left(y\times9\right)=27\)
\(y\times9=729:27\)
\(y\times9=27\)
\(y=27:9\)
\(y=3\)
Vậy \(y=3\)