I have an arithmetic sequence 0,1,2,3...,2n
a1=0
Now the sum of the numbers at the even places is
n^2 if I'm not wrong, I used the standard arithmetic sequence sum formula where my first value is 1 and my last value is 2n-1 and the number of vlues is n.
Did I do this correctly ?
>>8187214
s(0) = 0
s(1) = 2
s(2) = 6
s(3) = 12
none are square
>>8187251
When you do S(3) my formula will calculate the first 3 values of the series ,that's what I meant
>>8187270
oh
so S(3) = s(0)+s(1)+s(2)+s(3)?
You are correct op
>>8187277
This is 20, still not a square.
>>8187300
>>8187277
>>8187251
I think op's sequence starts at 1, so
S = 1, 3, 5, 7 ...
Which does indeed sum to square numbers as you add successive terms.
Pic related proves this in a nice way :)
>>8188149
Oh, that makes sense. Thanks.
>>8188149
>Pic related proves this in a nice way :)
That's not a proof. It's a geometric intuition.
>>8188968
it's a proof you retard. how stupid can you be not to realize this is a proof?
>>8188968
it's trivial to see a proof from it, come on
>1,2,3...2n
kek
