what are the next 3 numbers after -1,+4,-9,+16

2 answers

looks like we are taking the perfect squares and alternating them - and +
A perfect square is any rational number that is the square of another rational number.

1 ^ 2 = 1

2 ^ 2 = 4

5 ^ 2 = 25

6 ^ 2 = 36

7 ^ 2 = 49

etc.

Your series is a perfect square with negative odd numbers.

The next 3 numbers are :

- 25 , 36 , - 49