1.) Compute \(1 - 2 + 3 - 4 + \dots + 2005 - 2006 + 2007\)
2.) Compute the sum \(\frac{2}{1 \cdot 2 \cdot 3} + \frac{2}{2 \cdot 3 \cdot 4} + \frac{2}{3 \cdot 4 \cdot 5} + \cdots\)
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.
+17 
