Hi,
im a bit stuck on an question,
using proof by induction, prove that
sum_(r=1)^n(2 r-1) = n^2
same formula formatted:
http://www.wolframalpha.com/input/?i=Sum[2+r+-+1%2C+{r%2C+1%2C+n}]
my answers keep not making sense. please can someone help
Ok so we want to show that
to prove by induction we need to show for the base case (n=1) in this case we have
so it is true in that case,
now for the inductive step we want to show that given that
then
so write it out and split the sum like so
Give it a go from there