720, 1440, 2880

Multiply by 2

4, 6, 8

Add 2

Multiply by 3

-162, -486, -1458 26, 37, 50

Add 3, then add 5, then 7…

-5, -29/4, -19/2

Add

0.1234, 0.01234, 0.001234

Multiply by 0.1

-6, 7, -8, 9Consecutive numbers every other number is negative.

0, 4, 8

Add 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, . . .

-1/16, 1/64

Multiply by – ¼ 1391.2 , 1370.7 , 1350.2

Add -20.5

√−𝟐 ,√−𝟑Square roots of consecutive integers.

-324, 972

Multiply by -3

Adding a

positive or

negative

number!

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

B, E, H, K, N

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

Multiplying an integer or fraction!

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

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

The pattern will increase and decrease.

Yes. The common ratio is constant.

1 , -2 , 4 , -8 , 16 , -32

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.

A , C , F , I , J , M , P

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

D , G , L , O

There is no common difference or common ratio for these sequences.

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)

Arithmetic, d = 0Geometric, r = 1Neither, repeating twos.

Example: 3, 6, 10, 15, 21, . . .

Add 3, then add 4, then 5, . . .