>>40
(s1,s2,s3 ,・・・)∈R^N
(s1,s2,s3 ,・・・,sn)∈/R^N
therefore
(s1,s2,s3 ,・・・)≠(s1,s2,s3 ,・・・,sn)
(Recall how it is defined that two sequences are equal.)

but you wrote
>s = (s1,s2,s3 ,・・・)∈R^N
>s = (s1,s2,s3 ,・・・,sn)∈R^nとなる
i.e.
(s1,s2,s3 ,・・・)=(s1,s2,s3 ,・・・,sn)

It's already wrong completely. You don't understand sequence at all.