The image contains a series of mathematical exercises in Arabic, focusing on identifying patterns in sequences and completing them. Below is a breakdown and solution for each sequence:

1. Sequence 14: $0, 2, 4, 6, 8, \dots$

   • This is an arithmetic sequence where each term increases by 2.
   • The next term is $8 + 2 = 10$.

2. Sequence 15: $3, 6, 9, 12, 15, \dots$

   • This sequence increases by 3 each time.
   • The next term is $15 + 3 = 18$.

3. Sequence 16: $4, 8, 12, 16, 20, \dots$

   • Each term increases by 4.
   • The next term is $20 + 4 = 24$.

4. Sequence 17: $2, 22, 222, 2222, \dots$

   • The pattern is formed by adding an extra "2" to the number.
   • The next term is $22222$.

5. Sequence 18: $1, 4, 9, 16, \dots$

   • These are squares of natural numbers: $1^2, 2^2, 3^2, 4^2$.
   • The next term is $5^2 = 25$.

6. Sequence 19: $1, \frac{1}{2}, \frac{1}{4}, \frac{1}{8}, \dots$

   • This is a geometric sequence where each term is multiplied by $\frac{1}{2}$.
   • The next term is $\frac{1}{16}$.

Would you like further explanations or details on any specific sequence?

Related Questions:

1. What are the general formulas for arithmetic and geometric sequences?
2. How can you identify if a sequence is arithmetic or geometric?
3. What are some real-world applications of arithmetic sequences?
4. How do you find the sum of the first $n$ terms of a geometric sequence?
5. What is the difference between finite and infinite sequences?

Tip: Always look for a common difference or ratio when identifying patterns in sequences.