Question

高二数列--用数学归纳法证明在用数学归纳法证明“当n属于N*时,11^(n+2)+12^(2n+1)能被133整除”时,

Answer 1

11^[(k+1)+2]+12^[2(k+1)+1]

= 11*11^(k+2)+12^2*12^(2k+1)

= 11*(11^(k+2)+12^(2k+1))+133*12^(2k+1)