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					Sums
  n

1  n
 i 1
  n
     n(n  1)
i  2
i 1
  n
            n(n  1)( 2n  1)
i2 
 i 1              6

Arithmetic
Explicit        an = a1 + (n-1)d

Alternate       ak = aj + (k-j)d ; k>j

Recursive       a1 = # ; an = an-1+d

                       n
Sum             Sn =     (a1 + an)
                       2


Geometric
                                       an
Explicit        an = a1rn-1 ; r =
                                      a n 1


Alternate       ak = ajrk-j ; k>j

Recursive       a1 = # ; an = ran-1

                          1- rn
Sum             Sn =   a1[ 1- r
                                  ]
                          a1
Infinite Sum    S∞ = [          ] ; |r|<1
                         1 r

				
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