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%3Cp%3E%3Cimg%20class%3D%22user-upload%22%20src%3D%0A%22http%3A%2F%2Fmedia.cheggcdn.com%2Fmedia%252F9a8%252F9a805b18-f70b-4205-b3ed-089f9890f506%252Fphp6D83B7.png%22%0Aheight%3D%2238%22%20width%3D%22377%22%20%2F%3E%20and%202k%20is%20the%20greatest%20even%20number%20less%0Athan%20or%20equal%20to%20n%3F%3C%2Fp%3E%0A%3Cp%3E%3Cbr%20%2F%3E%3C%2Fp%3E%0A%3Cp%3ESteps%20and%20Explanation%20Please!!%20Thanks%20for%20your%20responses!!%3C%2Fp%3E%0A%3Cp%3E%3Cbr%20%2F%3E%3C%2Fp%3E%0A%3Cp%3E%3Cbr%20%2F%3E%3C%2Fp%3E%0A%3Cp%3E%3Cbr%20%2F%3E%3C%2Fp%3E%0A%3Cp%3E%3Cbr%20%2F%3E%3C%2Fp%3E%0A

Explanation / Answer

i think it cannot be proved because

let us verify let n=3 then 2k=2 then lhs of the given sum is 2^3and rhs is 2^(3-1)=2^2 wchich is wrong

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