已知a1=1,an+1=an²-2an+2.①证:{log2(a-1)}为等比数列.②求ann+1为右下角角码

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已知a1=1,an+1=an²-2an+2.①证:{log2(a-1)}为等比数列.②求ann+1为右下角角码已知a1=1,an+1=an²-2an+2.①证:{log2(a-1)

已知a1=1,an+1=an²-2an+2.①证:{log2(a-1)}为等比数列.②求ann+1为右下角角码
已知a1=1,an+1=an²-2an+2.①证:{log2(a-1)}为等比数列.②求an
n+1为右下角角码

已知a1=1,an+1=an²-2an+2.①证:{log2(a-1)}为等比数列.②求ann+1为右下角角码
an+1 -1=(an -1)²
log2(an-1)=log2(an-1 -1)²
=2log2(an-1 -1)
所以{log2(an -1)}为等比数列