Question 341734
<pre><b>
1, 4, 7, 10, ... What is the 100th number in this sequence?

This sequence has a common difference {{{d=3}}} because

{{{4-1=7-4=10-7=3}}}

So it is an arithmetic sequence with first term = {{{a[1]=1}}}
and {{{d=3}}}

The formula for the nth term is

{{{a[n]}}}{{{""=""}}}{{{a[1]+(n-1)d}}}

Substitute {{{n=100}}}, {{{a[1]=1}}}, {{{d=3}}}

{{{a[100]=""}}}{{{1+(100-1)(3)}}}

{{{a[100]=""}}}{{{1+(99)(3)}}}

{{{a[100]=""}}}{{{1+297}}}

{{{a[100]=""}}}{{{298}}}

Edwin</pre>