Question

Find the next two terms in the sequence.

0, 1, 4, 9, ...


16, 25


13, 17


13, 18


16, 23

Answer 1

`\bf \stackrel{0^2}{0}~~,~~\stackrel{1^2}{1}~~,~~\stackrel{2^2}{4}~~,~~\stackrel{3^2}{9}~~,~~\stackrel{4^2}{16}~~,~~\stackrel{5^2}{25}`

Answer 2

16, 25

Explanation:

AS you can see in the sequence you have several possibilities let´s study the linear ones:

You could have that they are adding n+C but you have no constant addition so that would be incorrect, the you culd have that they are mutiplying but since it also has no multiplication possible between 4 and 9 that is shareable that is also wrong, so the only possibility would be that they are elevating to rhe square every position:

0^2=0

1^2=1

2^2=4

3^2=9

4^2=16

5^2=25

So the next two terms in the sequecen would be 16 and 25.