求 (2+1)(2^2+1)(2^4+1)(2^8+1)...(2^2n+1)的值
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求 (2+1)(2^2+1)(2^4+1)(2^8+1)...(2^2n+1)的值
求 (2+1)(2^2+1)(2^4+1)(2^8+1)...(2^2n+1)的值
求 (2+1)(2^2+1)(2^4+1)(2^8+1)...(2^2n+1)的值
(2+1)(2^2+1)(2^4+1)(2^8+1)...(2^2n+1)
= (2^2-1)(2^2+1)(2^4+1)(2^8+1)...(2^2n+1)
= (2^4-1)(2^4+1)(2^8+1)...(2^2n+1)
= (2^8-1)(2^8+1)...(2^2n+1)
= (2^16-1)...(2^2n+1)
………………………………
= 2^4n-1