SOLUTION: Some sequences involve a pattern but are not arithmetic. Find the sum of the first 72-terms in the sequence 6,8,2,..., where An=(A(n-1))-(A(n-2))(The last term ia equal to the (las

Question 743334: Some sequences involve a pattern but are not arithmetic. Find the sum of the first 72-terms in the sequence 6,8,2,..., where An=(A(n-1))-(A(n-2))(The last term ia equal to the (last term minus 1) minus (the last term minus 2))
So, An is the last term in the sequence n= the total terms in the sequence (72)
Thank you
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!

The first 9 terms of the sequence are

6, 8, 2,-6,-8,-2, 6, 8, 2,-6,-8,-2 which have sum 0.

The next 9 terms are the same, which also have sum 0, etc. etc.

72 terms is 8 groups of those same 9 terms, each having sum 0,

Therefore the entire sum is 0.

Edwin

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