Number Sequences

Patterns are everywhere in the world. Maybe the most famous pattern that appears everywhere in the world from nature to fine arts is the Fibonacci sequence. Have a look at the following video to learn more. What kind of repeating patterns can you find at home?

**Let’s learn the theory:**

*Credit: Math Antics, YouTube*

**Exercises:**

1. Continue the string of letters two letters so that the string makes sense.

- A, D, G, J, ___, ___
- V, R, N, J, ___, ___
- A, E, I, O, U, ___, ___

2. How many sticks will there be in the fourth figure?

3. Continue the string of numbers with 3 more numbers.

- 17, 15, 11, …
- 56, 53, 50, 47, …
- 10, 7, 4, 1, …

4. Write the first for numbers of the sequence according to the following rules:

- First number is 2 and the following number is always 7 bigger than the previous one
- First number is 1 and the following numbers are always three times bigger than the previous
- 3 – the place of the number in the sequence + 40

5. What is the missing number?

- 2, 3, ---, 5, 6, …
- 5, 2, -1, ___, -7…
- 500, ___, 20, 4, …