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## Main Question or Discussion Point

We have recurrent sequence of integer number [tex]a_{1},a_{2},...[/tex]

[tex]a1=1, a2=2[/tex]

[tex]a_{n}=3a_{n-1}+5a_{n-2}[/tex] for [tex]n=3,4,5,...[/tex]

Is integer number [tex]k>=2[/tex], that [tex](a_{k+1}*a_{k+2}) mod a_{k} = 0[/tex] ?

Please for quick help :)

[tex]a1=1, a2=2[/tex]

[tex]a_{n}=3a_{n-1}+5a_{n-2}[/tex] for [tex]n=3,4,5,...[/tex]

Is integer number [tex]k>=2[/tex], that [tex](a_{k+1}*a_{k+2}) mod a_{k} = 0[/tex] ?

Please for quick help :)