This image contains a math test focused on number patterns, object configurations, sequences, and series. Below are solutions and explanations for some selected problems:

1. Pattern: 3, 4, 7, 11, 18, 29, ...

   • The difference between terms increases: $4 - 3 = 1$, $7 - 4 = 3$, $11 - 7 = 4$, $18 - 11 = 7$, $29 - 18 = 11$.
   • The next difference should be $11 + 4 = 15$, so the next term is $29 + 15 = 44$. Answer: A. 37

2. Pattern: 3, 5, 8, 12, ...

   • The differences are $5 - 3 = 2$, $8 - 5 = 3$, $12 - 8 = 4$.
   • The next difference is $4 + 1 = 5$, so the next term is $12 + 5 = 17$. Answer: D. 17

3. Pattern: 1, 3, 6, 10, ... (triangular numbers)

   • This is a sequence of triangular numbers, where each term is the sum of the natural numbers up to a point.
   • The next triangular number after 10 is $10 + 5 = 15$. Answer: C. 35

4. Pattern: 8, 13, 21, ... (Fibonacci sequence)

   • Fibonacci sequence rule: $F(n) = F(n-1) + F(n-2)$. Here, $8 + 13 = 21$.
   • The next term is $13 + 21 = 34$. Answer: B. 34

Would you like me to go through more questions or focus on specific ones? Here are five related questions you could explore:

1. How do triangular numbers work, and can they be generalized?
2. What are the properties of Fibonacci numbers, and where do they appear in nature?
3. How do we derive formulas for arithmetic or geometric sequences?
4. Can you explain how to solve pattern recognition problems in math tests?
5. What are common tricks for recognizing number patterns?

Tip: When solving number patterns, always look at the differences between terms or ratios to find a rule.