Sequence Series
Marc first writes the perfect squares as a sequence
1,4,9,16,25,36,49,64,81,100...
After the number 1, he then alternates by making two terms negative followed
by leaving two terms negative.Marc's new sequence is:
1,-4,-9,16,25,-36,-49,64,81,-100...
What is the sum of the first 2011 terms in this new sequence?