Recall the sequences from problem #1:
Sequence 1: 1, 7, 15, 23, -31,... is adding -8 (or subtracting 8)
Sequence 2: 4, 9, 14, 19, 24, 29,... is adding 5
Sequence 3: 3, 6, 9, 12, 15, 18,... is adding 3
Sequence 4: 1, 9, 17, 25, 33, 41,... is adding 8
Sequence 5: 86, 83, 80, 77, 74,... is subtracting 3 (or adding -3)
Sequence 6: 15, 13, 11, 9, 7, 5,... is subtracting 2 (or adding -2)
These sequences all have a common pattern: adding or subtracting a constant.
Each sequence where the terms increase (or decrease) by a adding (or subtracting) a constant amount is
known as an ARITHMETIC sequence. Choose all the arithmetic sequences.
18, 19.5, 21, 22.5, 24,...
$\frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4},...$
3, 11, 19, 27, 35, 43,...
1, 4, 9, 16, 25, 36,...
20, 15, 11, 8, 6,...
1, 4, 7, 10, 13, 16,...