SOLUTION: Find the value of 8+6+4+...+(-32)

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Question 1150620: Find the value of 8+6+4+...+(-32)
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
8+6+4+2+0+(-2)+(-4)+(-6)+(-8)+(-10)+(-12)+(-14)+(-16)+(-18)+(-20)+(-22)+(-24)+(-26)+(-28)+(-30)+(-32) = -252

By formula, where a1 = first term, an = nth term, 
n = number of term(s), d = common difference between any term after the first,
and the preceding term.  Sn = sum of first n terms.

matrix%281%2C3%2Ca%5Bn%5D%2C%22%22=%22%22%2Ca%5B1%5D%2B%28n-1%29d%29%29
matrix%281%2C3%2C-32%2C%22%22=%22%22%2C8%2B%28n-1%29%28-2%29%29
matrix%281%2C3%2C-32%2C%22%22=%22%22%2C8%2B%28-2%29%28n-1%29%29
matrix%281%2C3%2C-32%2C%22%22=%22%22%2C8%2B%28-2n%2B2%29%29
matrix%281%2C3%2C-32%2C%22%22=%22%22%2C8-2n%2B2%29
matrix%281%2C3%2C-32%2C%22%22=%22%22%2C10-2n%29
matrix%281%2C3%2C-42%2C%22%22=%22%22%2C-2n%29
  matrix%281%2C3%2C21%2C%22%22=%22%22%2Cn%29


matrix%281%2C3%2CS%5Bn%5D%2C%22%22=%22%22%2Cexpr%28n%2F2%29%28a%5B1%5D%2Ba%5Bn%5D%29%29
matrix%281%2C3%2CS%5B21%5D%2C%22%22=%22%22%2Cexpr%2821%2F2%29%288%2B%28-32%29%5E%22%22%29%29
matrix%281%2C3%2CS%5B21%5D%2C%22%22=%22%22%2Cexpr%2821%2F2%29%28-24%29%29
matrix%281%2C3%2CS%5B21%5D%2C%22%22=%22%22%2C-252%29

Edwin