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A = 4 + 22 + 23 + 24 + .......... + 220
A = 22 + 22 + 23 + 24 + .......... + 220
2A = 23 + 23 + 24 + .......... + 220 + 221
2A - A = (23 + 23 + 24 + .......... + 220 + 221) - (22 + 22 + 23 + 24 + .......... + 220)
A = 23 + 221 - 22 - 22
A = 8 + 221 - 4 - 4
A = 221
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
ta có: A = 4+22+23+24+...+220
2A = 8+23+24+25+...+221
2A - A = ( 8+23+24+25+...+221) - ( 4+22+23+24+...+220)
A = 4-4+221
A = 221
2A = 8 + 2^3 + 2^4 + ... + 2^21
2A - a = (2^3-2^3)+...+(2^20-2^20) + (8-4-2^2) + 2^21
A = 221
![](https://rs.olm.vn/images/avt/0.png?1311)
A=2^2+2^2+2^3+...+2^20
=>2A=2^3+2^3+2^4+...+2^21
=>2A-A=2^3+2^3+2^4+...+2^21-(2^2+2^2+2^3+...+2^20)
=>A=2^21
![](https://rs.olm.vn/images/avt/0.png?1311)
A = 4 + 22 + 23 + 24 + .... + 220
A - 4 = 22 + 23 + 24 + .... + 220
2A - 4 = 2( 22 + 23 + 24 + ... + 220)
2A - 4 = 23 + 24 + 25 + .... + 221
2A - A - 4 = (23 + 24 + 25 + ... + 221) - (22 + 23 + 24 + ... + 220)
A - 4 = 221 - 22
A = (221 - 22) + 4
A = 221
![](https://rs.olm.vn/images/avt/0.png?1311)
A=22+22+23+...+220
=>2A=23+23+24+...+221
=>2A-A=23+23+24+...+221-(22+22+23+...+220)
=>A=221
\(B=4+2^2+2^3+...+2^{20}\)
\(2B=8+2^3+2^4+...+2^{21}\)
\(2B-B=\left(8+2^3+2^4+...+2^{21}\right)-\left(4+2^2+2^3+...+2^{20}\right)\)
\(B=8+2^{21}-\left(4+2^2\right)=2^{21}\)