2. 720, 1440, 2880 Multiply by 2 4, 6, 8 Add 2 Multiply by 3 -162, -486, -145826, 37, 50 Add 3, then add 5, then 7…

3. -5, -29/4, -19/2 0.1234, 0.01234, 0.001234 Multiply by 0.1 -6, 7, -8, 9 Consecutive numbers every other number is negative. 0, 4, 8 Add 4

4. 10,000 & 100,000 Multiply by 10 -5/16, -5/32 Multiply by 1/2 0.5, -1, -2.5 Add -1.5 71, 65 Subtract 1, then 2, then 3, then 4,...

5. -1/16, 1/64 Multiply by – ¼ 1391.2, 1370.7, 1350.2 Add -20.5 Square roots of consecutive integers. -324, 972 Multiply by -3

6. Adding a positive or negative number!

7. Instead of the sequence decreasing by 2, the sequence will now increase by 4. Yes. The common difference between the terms will still be constant. 11, 15, 19, 23, 27

8. B, E, H, K, N B:d = 2 E:d = -9/4 H:d = 4 K:d = -1.5 N:d = -20.5

9. Multiplying an integer or fraction!

10. The sequence will still increase, but the terms would be different. They would get bigger more rapidly. Yes. The common ratio between the terms will still be constant. 1, 3, 9, 27, 81

11. The pattern would decrease because “multiplying by a fraction” is like “dividing by an integer”. Yes. The common ratio is still constant. 1, 1/3, 1/9, 1/27, 1/81, 1/243

12. The pattern will increase and decrease. Yes. The common ratio is constant. 1, -2, 4, -8, 16, -32

13. Devon is correct! The common ratio represents the number by which each term is multiplied. The next term can be found by multiplying 1/3, not multiplying 3.

14. A, C, F, I, J, M, P A:r = 2 C:r = 3 F:r = 0.1 I:r = 10 J:r = ½: M:r = -1/4 P:r = -3

15. D, G, L, O There is no common difference or common ratio for these sequences.

16. Both could be correct! They didn’t know if the sequence was arithmetic or geometric. Dante assumed arithmetic, d = 3 (Add 2) Kira assumed geometric, r = 2 (Multiply 2)

17. Arithmetic, d = 0 Geometric, r = 1 Neither, repeating twos. Example:3, 6, 10, 15, 21,... Add 3, then add 4, then 5,...