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\(3^{n+2}-2^{n+2}+3^{n-2}=3^{n+2}-2^{n+2}+3^{n-2}\)
\(3^{n+2}-2^{n+2}+3^{n-2}=3^n.3^2-2^n.2^2+3^n:3^2=3^n.9-2^n.4+3^n:9\)
![](https://rs.olm.vn/images/avt/0.png?1311)
A=2(1+2+22+...+212)
=> A chia hết cho 2
Vậy A chia hết cho 2(đpcm)
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\(\dfrac{2^{13}+2^5}{2^{10}+2^5}\)
\(=\dfrac{2^5\cdot\left(2^8+1\right)}{2^5\cdot\left(2^5+1\right)}\)
\(=\dfrac{2^8+1}{2^5+1}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(S=1+2+2^2+2^3+...+2^{2020}+2^{2021}\)
\(=\left(1+2\right)+\left(2^2+2^3\right)+...+\left(2^{2020}+2^{2021}\right)\)
\(=3+2^2\left(1+2\right)+...+2^{2020}\left(1+2\right)\)
\(=3+2^2.3+...+2^{2020}.3⋮3\)
VẬY \(S⋮3\)
Trả lời :...........................................
SCSH: (2021 - 1) : 1 = 2020
Tổng: (2021 + 1) : 2 = 1011
Hk tốt,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
k nhé