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Example 1
{18, 18, 14, 14, 10, 10, 6, 6, ...}
This sequence involves repetition and subtraction.
The numbers repeat themselves and then there is subtraction by four.
Example 2
Arithmetic sequences involve the addition or subtration of a constant to each term.
This sequence has a positive common difference of 7, (d=7).
{7, 14, 21, 28, 35, 42, 49, ...}
1. {60, 74, ?, 102, 116, ?, 144}
Answer: 88 and 130
Explanation: Add 14 to each preceding term.
2. {50, 68, ?, 122, 140, ?, 176}
Answer: 104 and 158
Explanation: Add 28 to each preceding term.
3. {99, 45, 54, 55, 18, 37, 44, 8, ?}
Answer: 44 - 8 = 36
Explanation: For every set of three numbers subtract the second number from the first.
4. {2, 1, 2, 5, 8, 16, 29, 43, ?}
Answer:16 + 29 + 43 = 88
Explanation: For every set of four numbers, add the previous three to arrive at the fourth.
5. {88, 82, 76, 70, 64, 58, ?}
Answer: 52
Explanation: Simple arithmetic series where six is subtracted from the previous term.