作业帮求(3+1)(3²+1)(3^4+1)···(3^2n+1)的值
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求(3+1)(3²+1)(3^4+1)···(3^2n+1)的值
求(3+1)(3²+1)(3^4+1)···(3^2n+1)的值
求(3+1)(3²+1)(3^4+1)···(3^2n+1)的值
(3+1)(3²+1)(3^4+1)···(3^2n+1)
=（3-1)(3+1)(3²+1)(3^4+1)···(3^2n+1)/(3-1)
=(3²-1)(3²+1)(3^4+1)···(3^2n+1)/2
=(3^4-1)(3^4+1)···(3^2n+1)/2
=(3^8-1)···(3^2n+1)/2
………………………………
=(3^4n-1)/2
(3+1)(3²+1)(3^4+1)···(3^2n+1)
=(3-1)(3+1)(3²+1)(3^4+1)···(3^2n+1)/(3-1)
=(3^4n-1)/2