The sequence provided is:

50, 30, 20, ?, 60, 230.

Step-by-step Solution:

1. Analyze the sequence trend: The numbers seem to decrease initially, and then a sharp increase appears toward the end. This suggests that the missing number (?) might follow a pattern in increments or decrements.

2. Difference between consecutive terms:

   • From 50 to 30: Decrease by 20.
   • From 30 to 20: Decrease by 10.

   The pattern of decrease seems to reduce by 10 each step.

3. Predict the missing value:

   • Following the pattern, the next difference should be 5 less than 10 (i.e., 5).
   • Subtracting 5 from 20 gives 15.

Thus, the missing number (?) is 15.

4. Verify with the continuation:
   • After 15, the sequence jumps to 60 and then sharply increases to 230, which aligns with a sudden shift in pattern.

Final Answer:

The missing number is 15.

Let me know if you'd like further clarification or a deeper analysis.

Here are 5 related questions you might find interesting:

1. How can sequences with alternating patterns be identified?
2. What are arithmetic and geometric progressions, and how are they applied in sequences?
3. How would this sequence change if the difference pattern reversed?
4. What role do sequences play in real-life scenarios like finance or engineering?
5. Can you find other examples where a sequence breaks a pattern after a few terms?

Tip: Always check differences or ratios when solving number sequences—they often reveal hidden patterns quickly.