https://file.aiquickdraw.com/mathbot/file/1723853243459m45rmz5d.jpg

The image contains two mathematical problems, specifically related to quadratic sequences. Let's address each one:

### 1. Problem 6
The problem appears to be asking to **"find the first four terms of a quadratic sequence"** given by \( T_n = an^2 + bn + c \), where you are likely given some additional information about the sequence.

### 2. Problem 2.1
The problem seems to involve **proving that a certain value of \( n \) leads to \( T_n = -8 \)**. This could involve finding the roots of the quadratic equation or showing a specific value satisfies the given conditions.

To solve these problems, I'll need a bit more information. Specifically:

- For problem 6, what are the coefficients \( a \), \( b \), and \( c \)?
- For problem 2.1, what is the given quadratic sequence or equation?

If you could provide those details, I can help solve the problems fully. Would you like to provide more information or have me clarify anything?

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Here are some related questions:
1. What are quadratic sequences?
2. How do you determine the general form of a quadratic sequence?
3. What methods can be used to find the first few terms of a sequence?
4. How do you calculate the common difference in a quadratic sequence?
5. What is the significance of finding the first four terms in a sequence?
6. What are roots of a quadratic equation?
7. How can you determine if a quadratic equation has real or complex roots?
8. What are the methods to solve quadratic equations?

**Tip:** For quadratic sequences, the second difference between consecutive terms is constant. This can be used to identify and analyze the sequence.

Explore how to solve quadratic sequence problems involving finding the first four terms. Understand the general form of a quadratic sequence T_n = an^2 + bn + c and its applications. Suitable for Grades 9-12.

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