Question

A = 2^1 + 2^2 +2^3 + 2^4 +.... + 2^23 +2^24 +2^25 giúp mình với

Answer 1

\(A=2+2^2+...+2^{25}\)

\(\Rightarrow2A=2^2+2^3+...+2^{26}\)

\(\Rightarrow2A-A=\left(2^2+2^3+...+2^{26}\right)-\left(2+2^2+...+2^{25}\right)\)

\(\Rightarrow A=2^{26}-2\)

Vậy \(A=2^{26}-2\)

Answer 2

A= 2^1+2^2+2^3+2^4+...+2^23+2^24+2^25

=>2A=2.(2^1+2^2+...+2^25)

=>2A= 2^2+2^3+...+2^26

=>2A-A=(2^2+2^3+...+2^26) - (2+2^2+...+2^25)

=> A= 2^2+2^3+...+2^26 -2-2^2-...-2^25

=> A= 2^26-2

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Answer 3

A = 2¹ + 2² + 2³ + 2⁴ +... + 2²³ + 2²⁴ + 2²⁵
=> 2A = 2² + 2³ + 2⁴ + ... + 2²⁴ + 2²⁵ + 2²⁶
=> 2A - A = 2²⁶ - 2
=> A = 2²⁶ - 2
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