Question

The sum of all integers from -2014 to 2012 is A -2 B. -2014 C. -4025 D. -4027​

Answer 1

Answer:

  D.  -4027

Step-by-step explanation:

After the first two, the integers can be paired so that each pair has a sum of zero.

  -2014 +(-2013) +(-2012) + ... (-1) +0 +1 + ... +2012

  = -2014 -2013 +(-2012 +2012) +(-2011 +2011) + ... +(-1 +1) +(0)

  = -4027 + 0 +0 +0 + ... +0

  = -4027