SOLUTION: Could I please get some help with the following problem: Find the sum: 10 ∑ {{{(-2)^k}}} k=1 Thank You, Ray

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Question 150163: Could I please get some help with the following problem:
Find the sum:
10
∑ %28-2%29%5Ek
k=1
Thank You,
Ray
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Set up a table of values for k and the argument, %28-2%29%5Ek.
EXCEL is a great program to do this.
k=1,+-2%5Ek=-2%5E1=-2
k=2,+-2%5Ek=-2%5E2=4
k=3,+-2%5Ek=-2%5E3=-8
k=4,+-2%5Ek=-2%5E4=16
k=5,+-2%5Ek=-2%5E5=-32
k=6,+-2%5Ek=-2%5E6=64
k=7,+-2%5Ek=-2%5E7=-128
k=8,+-2%5Ek=-2%5E8=256
k=9,+-2%5Ek=-2%5E9=-512
k=10,+-2%5Ek=-2%5E10=1024
Sum the first ten terms,
-2%2B4-8%2B16-32%2B64-128%2B256-512%2B1024=682
sum%28+%28-2%29%5Ek%2C+1%2C+10+%29=682