1.) Compute 1−2+3−4+⋯+2005−2006+2007
2.) Compute the sum 21⋅2⋅3+22⋅3⋅4+23⋅4⋅5+⋯
Thank you
1)
1 - 2 + 3 - 4 + ..........2005 - 2006 + 2007
[-1 x 1008] + 2007 =1,009.
2) 2/6 + 2/24 + 2/60 +2/120 + 2/210 + 2/336 + 2/504 + 2/720.........etc.
F / [1 - R] = Sum
1/3 / [1 - 1/3] =1/2.