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720, 1440, 2880
4, 6, 8
Multiply by 2
Add 2
-162, -486, -1458
Multiply by 3
26, 37, 50
Add 3, then add 5, then 7…
-5, -29/4, -19/2
Add
𝟗
−
𝟒
-6, 7, -8, 9
Consecutive numbers every
other number is negative.
0.1234, 0.01234, 0.001234
Multiply by 0.1
0, 4, 8
Add 4
10,000 & 100,000
-5/16, -5/32
Multiply by 10
Multiply by 1/2
71, 65
0.5, -1, -2.5
Add -1.5
Subtract 1, then 2, then
3, then 4, . . .
-1/16, 1/64
Multiply by – ¼
1391.2 , 1370.7 , 1350.2
Add -20.5
-324, 972
−𝟐 , −𝟑
Square roots of
consecutive integers.
Multiply by -3
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:
E:
H:
K:
N:
d=2
d = -9/4
d=4
d = -1.5
d = -20.5
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:
C:
F:
I:
J:
M:
P:
r=2
r=3
r = 0.1
r = 10
r = ½:
r = -1/4
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)
Example:
3, 6, 10, 15, 21, . . .
Add 3, then add 4, then 5, . . .
Arithmetic, d = 0
Geometric, r = 1
Neither, repeating twos.