Question 1

Equation for the sum of the 1st n integers

Accepted Answer

[![](http://latex.codecogs.com/gif.latex?%5Cdpi%7B300%7D&space;%5Csum_%7Bk=0%7D%5E%7Bn%7D%7Bk%7D=%5Cfrac%7Bn(n&plus;1)%7D%7B2%7D "\sum_{k=0}^{n}{k}=\frac{n(n+1)}{2}")](http://www.codecogs.com/eqnedit.php?latex=%5Cdpi%7B300%7D&space;%5Csum_%7Bk=0%7D%5E%7Bn%7D%7Bk%7D=%5Cfrac%7Bn(n&plus;1)%7D%7B2%7D)

Question 2

Equation for the sum of the 1st n powers of m

Accepted Answer

[![](http://latex.codecogs.com/png.latex?%5Cdpi%7B300%7D&space;%5Csum_%7Bk=0%7D%5E%7Bn%7D%7Bm%5Ek%7D=%5Cfrac%7B1%7D%7Bm-1%7D%5Cleft(m%5E%7Bn&plus;1%7D-1%5Cright&space;) "\sum_{k=0}^{n}{m^k}=\frac{1}{m-1}\left(m^{n+1}-1\right )")](http://www.codecogs.com/eqnedit.php?latex=%5Cdpi%7B300%7D&space;%5Csum_%7Bk=0%7D%5E%7Bn%7D%7Bm%5Ek%7D=%5Cfrac%7B1%7D%7Bm-1%7D%5Cleft(m%5E%7Bn&plus;1%7D-1%5Cright&space;))

Brainscape's Knowledge GenomeTM

Sequences and Series Flashcards

Brainscape's Knowledge Genome^TM