Question 1050630
<pre><b>
What do you mean by 2n^-n with only a caret ^ to indicate 
an exponent but then there is no exponent after it?

Maybe you meant {{{2n^2-n}}} and should have written 2n^2-n. 
Is that it?  I'll guess that's what you meant.

The first term has to be just the "sum of the first term
only", [even though nothing has been summed!] but that's
how we consider "summing" when there is only one number.
So the first term has to be 2(1)^2-1 or 2(1)-1 = 2-1 = 1.
a<sub>1</sub> = 1.  Then for n > 1

{{{matrix(1,7,

(matrix(3,1,the,nth,term)),
"",
""="",
"",
(matrix(7,1,the,sum,of,the,first,n,terms)),
""-"",
(matrix(7,1,the,sum,of,the,first,n-1,terms))

)}}}

The sum of the first n terms = {{{2n^2-n}}}
The sum of the first n-1 terms = {{{2(n-1)^2-(n-1)}}}

So, nth term = {{{(2n^2-n)-(2(n-1)^2-(n-1)^"")}}}{{{""=""}}} 
               
               {{{2n^2-n-(2(n^2-2n+1)^""-n+1))}}}{{{""=""}}}  

               {{{2n^2-n-(2n^2-4n+2-n+1))}}}{{{""=""}}}

               {{{2n^2-n-(2n^2-5n+3))}}}{{{""=""}}}

               {{{2n^2-n-2n^2+5n-3)}}}{{{""=""}}}

               {{{4n-3)}}}

Edwin</pre></b>