1. Quadratic Sequences

2. 10 multiple choice questions
Nth Term
10 multiple choice questions

3. What is the nth term of- 2 , 5, 8, 11, 14 ? A) B) C) D) 2n 2n + 3

4. What is the nth term of- 1, 6, 11, 16, 21? A) B) C) D) n+5 5n-4 1n +5

5. What is the nth term of- 4, 10, 16, 22, 28? A) B) C) D) 2n + 2 4n + 6

6. What is the nth term of- -2, 5, 12, 19, 26? A) B) C) D) 7n- 9 -2n + 7

7. What is the nth term of- 20 , 18, 16, 14, 12 ? A) B) C) D) -2n 20 – 2n

8. What is the nth term of- 4 , -1, -6, -11, -16 ? A) B) C) D) 4-5n 9-5n

9. What is the nth term of- 9 , 6, 3, 0, -3 ? A) B) C) D) -3n 12-3n 9n-3

10. What is the nth term of- 2 , 2.5, 3, 3.5, 4? A) B) C) D) 0.5n 2n+0.5

11. What is the nth term of- 10 , 12.5, 15, 17.5, 20 ? A) B) C) D) A) B)
2.5n + 7.5 C) D)

12. What is the nth term of- -1, 5,15 , 29, 47? A) B) C) D)
QUADRATIC SEQUENCES
What is the nth term of-
-1, 5,15 , 29, 47?
The problem here is that the sequence doesn’t go up or down in nice equal steps, the steps get bigger and bigger each time.
Do we give up? Nope, lets look at how to find the nth term of these sequences
None of these
6n-7 A) B)
-1n +6
6-1n C) D)

13. 47 15 29 -1 5
Because the second difference is the same, we call the sequence quadratic, and we know the equation will have n2 in it 6 10 14 18
4÷2=2
Sequence has 2n2 4 4 4
term -1 5 15 29
2n2 2 8 18 32
subtract -3
Sequence is 2n2-3

14. 29 50 5 14 77 9 15 21 27
6÷2=3
Sequence has 3n2 6 6 6
term 5 14 29 50
3n2 3 12 27 48
subtract 2
Sequence is 3n2+2

15. Find the Nth term of these sequences
Answers
2n2+3
3n2-2
2n2 + 4
n2 -1
4n2
5, 11, 21, 35, 53
1, 10, 25, 46, 73
6, 12, 22, 36, 54
0, 3, 8, 15, 24
4, 16, 36, 64, 100

16. This overall sequence is 2n2 + 3n -126 43 4 13 64
4÷2=2
Sequence has 2n2 21 13 17 9 4 4 4
term 4 13 26 43
2n2 2 8 18 32
subtract 5 11
This sequence is 3n - 1
This overall sequence is 2n2 + 3n -1

17. Find the Nth term of these sequences6 17 34 57 86 3 18 41 72
111 7 14 23 47 8 19 53 76 2 12 30 56 90
Answers
3n2+2n +1
4n2+3n -4
n2 + 4n + 2
2n2 +5n + 1
4n2 -2n
6, 17, 34, 57, 86
3, 18, 41, 72, 111
7,14,23, 34, 47
8, 19, 34, 53, 76
2, 12, 30, 56, 90