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Ta có:
a) \(S=2^3+2^5+2^7+...+2^{25}\)
\(\Rightarrow2^2\cdot S=2^2\cdot\left(2^3+2^5+2^7+...+2^{25}\right)\)
\(\Rightarrow4\cdot S=2^5+2^7+2^9+...+2^{27}\)
\(\Rightarrow4\cdot S-S=\left(2^5+2^7+2^9+...+2^{27}\right)-\left(2^3+2^5+2^7+...+2^{25}\right)\)
\(\Rightarrow3\cdot S=2^{27}-2^3\)
\(\Rightarrow S=\frac{2^{27}-2^3}{3}\)
b) \(S=3+3^2+3^3+...+3^{100}\)
\(\Rightarrow3\cdot S=3\cdot\left(3+3^2+3^3+...+3^{100}\right)\)
\(\Rightarrow3\cdot S=3^2+3^3+3^4+...+3^{101}\)
\(\Rightarrow3\cdot S-S=\left(3^2+3^3+3^4+...+3^{101}\right)-\left(3+3^2+3^3+...+3^{100}\right)\)
\(\Rightarrow2\cdot S=3^{101}-3\)
\(\Rightarrow S=\frac{3^{101}-3}{2}\)
\(26\times\left(-25\right)+36\times\left(-25\right)\)
\(=\left(-25\right)\times\left(26+36\right)=\left(-25\right)\times62=-1550\)
\(26.\left(-25\right)+36.\left(-25\right)\)
\(=\left(-25\right).\left(26+36\right)\)
\(=-25.62\)
\(=-1550\)
10 . 20 - 100 . 75 + 10 . 80 + 100 . 25
= 10 . ( 20 + 80 ) - 100 . ( 75 + 25 )
= 10 . 100 - 100 . 100
= 1000 - 10000
= - 9000
10 x 20 -100 x 75 + 10 x 80 - 100 x 25
10. 10. 2 - 100. 75 + 10. 10. 8 - 100 .25
100.2 -100.75 +100.8 - 100.25
200 - 7500 + 800 - 2500
vô lý
25 chứ mấy !!!!!!!!!~~~.~~~``````````````````````````````````````````````````````````````````````````````````````````````````````
25%x100=25