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If a(n+2)=2/a(n+1)+an,a1=1,a2=2 , and ((...

If `a_(n+2)=2/a_(n+1)+a_n,a_1=1,a_2=2` , and `((a_1+1/a_2)/a_3).((a_2+1/a_3)/a_4).....((a_(30)+1/a_(31))/a_(32))=2^(alpha) "^(61)C_(31)`, then `alpha` is:

A

`-30`

B

`-31`

C

`-60`

D

`-61`

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