Find the nth term of this quadratic sequence.
3, 11, 25, 45

3 , 11, 25, 45

Diff 8 14 20

Diff 6 6

The second differences are the same. The sequence is quadratic and will contain an n^2 term. The coefficient of n^2 is always half of the second difference. In this example, the second difference is 6. Half of 6 is 3 so the coefficient of n^2 is 3

therefore 3n^2

3 11 25 45

3n^2 3 12 27 48

Remainder 0 -1 -2 -3

Difference -1 -1 -1

linear sequence with nth term -n+1

so nth term of quadratic sequence in 3n^2-n+1

so what is the question

step-by-step explanation:

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068