Question

2² +2⁴ +2⁶ +...+ 2^98=?

 

Answer 1

\(2^{99}\)

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Answer 2

Ta có : 2^2 + 2^4 + 2^6 +.........+2^98 = A

=> 4A = 2^4 + 2^6 + 2^8 + .......+ 2^10 

=> 4A - A = 2^10 - 2^2 = 1024 - 4 = 1020 = 3A

=> A = 1020 : 3 = 340

Vậy 2^2 + 2^4 + 2^6 +........+2^98 = 340

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