SOLUTION: The first two terms of a sequence are a, b. From then on, each term is equal to the opposite of the previous term, plus the term before that. What is the sixth term?

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Question 287830: The first two terms of a sequence are a, b. From then on, each term is equal to the opposite of the previous term, plus the term before that. What is the sixth term?
Answer by CharlesG2(834) About Me  (Show Source):
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The first two terms of a sequence are a, b. From then on, each term is equal to the opposite of the previous term, plus the term before that. What is the sixth term?
a
b
-b + a --> a - b
-(a - b) + b --> -a + b + b --> 2b - a
-(2b - a) + a - b --> -2b + a + a - b --> 2a - 3b
-(2a - 3b) + 2b - a --> -2a + 3b + 2b - a --> 5b - 3a (6th term)