Question 1133111
the numbers {{{4}}},{{{7}}},{{{10}}},{{{13}}},{{{16}}} where each number is three greater than the number preceding it,

=> common difference {{{d=3}}}

The nth term is {{{a[n]=3n+1}}}

{{{(3n + 1)=2005}}}
{{{3n =2004}}}
{{{3n=2004/3}}}
{{{n=668}}} =>

so, {{{2005 }}}will be {{{668}}}th term
 
if given

first {{{100}}} terms is on page {{{526}}},

{{{101}}} term-{{{200}}} term is on page {{{527}}}
{{{201}}} term-{{{300}}} term is on page {{{528}}}
{{{301}}} term-{{{400}}} term is on page {{{529}}}
{{{401}}} term-{{{500}}} term is on page {{{530}}}
{{{501}}} term-{{{600}}} term is on page {{{531}}}
{{{601}}} term-{{{700}}} term is on page {{{532}}}


since {{{2005}}}  is {{{668th}}} term, and it is located on  page {{{532}}}