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kozerog [31]
3 years ago
11

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

Mathematics
2 answers:
Snezhnost [94]3 years ago
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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