# Math Help - Finding a,b,c

1. ## Finding a,b,c

1 + 3 + 5 +.... (2n-1) = an^2 + bn + c, for some real constant a,b,c.Find the values of a,b and c

2. Originally Posted by anshulbshah
1 + 3 + 5 +.... (2n-1) = an^2 + bn + c, for some real constant a,b,c.Find the values of a,b and c
HI

The first term is 1 and the last term is (2n-1) so

$S_n=\frac{n}{2}(a+l)$

$=\frac{n}{2}(1+()2n-1)$

$=n^2$

So by comparing , a=1 , b and c are both 0 .