Solving Explicity Formula for Sum of i from 1 to n

  • Thread starter Thread starter steveT
  • Start date Start date
  • Tags Tags
    Discrete
steveT
Messages
15
Reaction score
0
Can anyone help me out with this one?


I need to find an explicit formula for:

n 2
∑ i
i=1

I was already asked to find the explicit polynomial formula for the above equation which is

n·(n + 1)·(2·n + 1)
_________________
6

I'm not sure on what the difference is between the 2 formulas.

Thanks
 
Physics news on Phys.org
Welcome to PF.

You are correction in your suspicion, the explicit polynomial formula is also the explicit formula.
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
View full post »

Similar threads

Compute sum (possibly using Parseval's formula)
Replies
1
Views
1K
Finding an explicit formula for the sequence of partial sums
Replies
2
Views
5K
What is the correct formula for the reduced Chi square?
Replies
3
Views
3K
Discovering the Formula for Σ (i=1, n) √i
Replies
6
Views
1K
How to convince myself that I can take n=1 here?
Replies
1
Views
1K
Avoid unpleasant integrals in solving IVP
Replies
3
Views
2K
Integral of x^n using Reimann sums
Replies
4
Views
1K
Prove ##a \cdot 1 = a = 1 \cdot a## for ##a \in \mathbb{N}##
Replies
1
Views
1K
Proving convergence of rational sequence
Replies
2
Views
1K
Proving that ##\lim [\sqrt{4n^2 +n} - 2n] = \frac{1}{4}##
Replies
9
Views
3K

Hot Threads

Recent Insights

Back
Top