given the quadratic sequence -2;0;3;7;...

Question

2.1 write down the value of the next term of the sequence

Answer 1

1st difference: 2,3,4
2nd difference: 1,1,1

So, the 1st difference to the next term is 5, and the next term is 12

Answer 2

You just have to look for the pattern. you get 0 when you add -2 and 2, you get 3 when you add 0 and 3, and you get 7 when you add 3 and 4. There is a pattern; every time you make the next term, you raise the number by 1 to add to the previous number.
Since the gap between 3 and 7 was 4, the gap between 7 and the 5th term will be 5. 7+5=12
hope this helps!