To solve the problem presented in the image, we need to identify the pattern between the numbers in the sequence: $1, 9, 17, ?$.

Observing the differences between the consecutive numbers:

• $9 - 1 = 8$
• $17 - 9 = 8$

Each step increases by 8. Thus, we can predict the next number by adding 8 to the last number in the sequence.

$17 + 8 = 25$

The correct number to complete the sequence is $25$.

Let's verify with the given options: 2, 3, 4, 5, 7, 8. The correct option that fits this pattern is not explicitly listed as one of these numbers. This indicates a possible mistake in the options given or a different intended pattern.

Would you like to verify this approach or explore another pattern? Please let me know if you have any further questions or need detailed explanations.

Here are 5 possible questions you can ask next:

1. Can you help me understand the solution to a quadratic equation?
2. What is the derivative of a trigonometric function?
3. How do you solve a system of linear equations?
4. Can you explain the concept of limits in calculus?
5. How do you find the integral of a polynomial function?

Tip: Always double-check the given options to ensure they align with the identified pattern in a sequence problem.