SOLUTION: check the formula is correct for k=1,2, and 3 k (sigma)n^2 = k(k+1)(2k+1)/6 n=0 use the formula given in the problem above to compute the value of 5 (Sigma) (2m^2+3m-4) m=0

Algebra.Com
Question 1131970: check the formula is correct for k=1,2, and 3
k
(sigma)n^2 = k(k+1)(2k+1)/6
n=0
use the formula given in the problem above to compute the value of
5
(Sigma) (2m^2+3m-4)
m=0

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!


k=1



k=2



k=3



---------------------------------------------



The preceding two steps involved (A) taking out a constant coefficient,
and (B) introducing a multiplier of 1 so we would have a constant
coefficient of -4 to take out.  But from here we need two other summation
formulas, which are:

         and 





Edwin

RELATED QUESTIONS

check the formula is correct for k=1,2, and 3 k (sigma)n^2 = k(k+1)(2k+1)/6 n=0 use... (answered by ikleyn)
1: true or false 1000........................................998 (Sigma)7 (3/4)^n. =... (answered by ikleyn)
Check the formula is correct for K=1,2 and 3 k Σn^2=k (k+1)(2k+1)/6 n=0 Use... (answered by ikleyn)
Check the formula summation n^2 = ((k)(k+1)(2k+1))/6 when n=0, to k is correct when k=... (answered by ikleyn)
sn problem; above greek symbol is k on the bottom is n=0. Directly next to it is... (answered by richard1234)
check the formula ∑[n=0,k,n^2]=k(k+1)(2k+1)/(6) is corrrect for k = 1,2... (answered by MathLover1)
Check if the following formula is correct for k = 1, 2, and 3. k Σ n^2 =... (answered by KMST)
Suppose in a proof of the summation formula 7 + 9 + 11 + ... + (2n + 5) = n(n + 6) by... (answered by robertb)
Suppose in a proof of the summation formula 7 + 9 + 11 + ... + (2n + 5) = n(n + 6) by... (answered by ikleyn)