https://file.aiquickdraw.com/mathbot/file/1723049134866mymrd7b9.jpg

The image shows a series of equations related to finding the 15th term of a sequence. Let's analyze and solve the problem step by step.

From the image, we see the following equations and steps:

1. \( X_{15} = X_{15-1} + X_{15-2} \)
2. \( X_{15} = X_{14} + X_{13} \)
3. \( X_{15} = 233 + 377 \)
4. \( X_{15} = 610 \)

This sequence appears to be the Fibonacci sequence, where each term is the sum of the two preceding terms. The Fibonacci sequence starts with \( X_1 = 1 \) and \( X_2 = 1 \), and each subsequent term is defined as:
\[ X_n = X_{n-1} + X_{n-2} \]

To verify the steps:
- \( X_{15} = X_{14} + X_{13} \)
- Given \( X_{14} = 377 \) and \( X_{13} = 233 \)
- Therefore, \( X_{15} = 377 + 233 = 610 \)

The solution provided is correct.

### Do you want more details or have any questions?

### Here are 8 related questions to expand your understanding:
1. What are the first 15 terms of the Fibonacci sequence?
2. How can you derive a formula for the nth term of the Fibonacci sequence?
3. What is the mathematical significance of the Fibonacci sequence?
4. How is the Fibonacci sequence applied in nature and science?
5. Can you explain the relationship between the Fibonacci sequence and the golden ratio?
6. How would you find the 20th term of the Fibonacci sequence?
7. How can you write a program to generate Fibonacci numbers?
8. What are some properties of Fibonacci numbers in modular arithmetic?

### Tip:
When solving sequence problems, always check the initial terms and the recurrence relation to ensure the sequence type and calculations are correct.

Explore how to find the 15th term of the Fibonacci sequence with a detailed step-by-step solution. Understand the Fibonacci sequence formula and verify calculations. Suitable for high school students studying sequences and series.

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