08/04/05 22:29:34 0
{F_n}が、F_1=F_2=1、F_{n+2}=F_{n+1}+F_{n}、
{L_n}が、L_1=1、L_2=3、L_{n+2}=L_{n+1}+L_{n}を満たすとする。以下を証明せよ。
(1) arctan(1/F_{2n }) = arctan(1/F_{2n+1}) + arctan(1/F_{2n+2})
(2) arctan(1/F_{2n+1}) = arctan(1/L_{2n })+arctan(1/L_{2n+2})
(3) arctan(2/L_{2n+1}) = arctan(1/F_{2n })+arctan(1/L_{2n })