2(3+1)(3的平方+1)(3的4次方+1)(3的8次方+1)+1.要算式,

问题描述:

2(3+1)(3的平方+1)(3的4次方+1)(3的8次方+1)+1.要算式,

2(3+1)(3^2+1)(3^4+1)(3^8+1)...(3^2n+1)=2(3^2-1)(3^2+1)(3^4+1)(3^8+1)...(3^2n+1)/(3-1)=2(3^4-1)(3^4+1)(3^8+1)...(3^2n+1)/(3-1)=2(3^8-1)(3^8+1)...(3^2n+1)/(3-1)=2(3^16-1)...(3^2)^n+1)/(3-1)=2[...