3 years ago

Make a conjecture about the next item in the sequence 1, -4, 9, -16

2 answers:

4 0

To get -4 from 1, we must either subtract 5 from 1 or mult. 1 by -4. Unfortunately subtracting 5 from -4 does not result in 9, and mult -4 by -4 does not result in -16. So neither "works" in predicting the next term.

Can you think of any other experiments to do that would help you discover the pattern 1, -4, 9, -16?

HACTEHA [7]3 years ago

4 0

The absolute values of each term are a sequence of perfect squares and the sign alternates so the next term would be 5^2 = 25 answer.

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