Question 1053319
This is a problem requiring literal analysis of the description.


The integers:
{{{system(n,n+1)}}}


The description:
{{{1/n+3(1/(n+1))=9(1/n)(1/(n+1))}}}


The rest is algebra or arithmetic.


{{{1/n+3/(n+1)=9/(n(n+1))}}}


{{{(n(n+1))(1/n)+(n(n+1))(3/(n+1))=9}}}

{{{n+1+3n=9}}}

{{{4n=8}}}

{{{highlight(n=2)}}}, and the next integer is {{{highlight(n+1=3)}}}.