SOLUTION: Use inductive reasoning to predict the next TWO numbers in the sequence. 80, –40, 20, –10, 5, . . . I can't figure out what the pattern is her necessarily. i get that its -

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Notice how each term is cut in half and is negated (ie the sign is changed). In other words, each term is multiplied by

Cut the 1st term 80 in half and negate it to get –40. In other words,

Cut the 2nd term –40 in half and negate it to get 20. In other words,

Cut the 3rd term 20 in half and negate it to get –10. In other words,

Cut the 4th term –10 in half and negate it to get 5. In other words,


So to find the next two terms, simply multiply the last few terms by


So lets multiply the last term 5 by



So the next term is or -2.5


Now lets multiply the last term by



So the next term is or 1.25



So the updated sequence is

80, –40, 20, –10, 5, ,