Continue the sequences in the figure below. Explain how each one works
Solution
- Add 1, add 2, add 3, add 1, add 2, add 3, and so on.
- Alternate multiples of 2 and powers of 3.
- Group by threes, each triple starts with half of the last number of the preceding triple. The second and third number in each triple is obtained by adding 4.
- Starts 1, 2, 3. Each number is three times the one three steps back in the sequence.
- Starting with the ‘9’, each number is the sum of the previous three.
- Starting with the '7', subtract 3, multiply by 4, add 10, rinse and repeat.
- The Fibonacci sequence. Each number is the sum of the previous two.
- Like Fibonacci but each number is the sum of the previous three.
