https://file.aiquickdraw.com/mathbot/file/1726172571470otf2ygal.jpg

Gib für diese zahlenfolge eine mögliche Darstellung 

The sequence in the image is:  
\[ 2; 5; 8; 11; \dots \]

This appears to be an arithmetic sequence, where the difference between consecutive terms is constant. To represent this formally:

1. **First term (a)**: The first term is \( a_1 = 2 \).
2. **Common difference (d)**: The difference between terms is \( d = 5 - 2 = 3 \).

The general formula for the \(n\)-th term of an arithmetic sequence is:
\[
a_n = a_1 + (n-1) \cdot d
\]
Substituting the known values:
\[
a_n = 2 + (n-1) \cdot 3 = 3n - 1
\]
Thus, a possible representation of the sequence is:
\[
a_n = 3n - 1
\]

Would you like more details or clarifications on this? 

Here are five related questions for further exploration:
1. How would you find the sum of the first \(n\) terms of this arithmetic sequence?
2. How do you derive the formula for the \(n\)-th term of an arithmetic sequence?
3. Can you generalize the formula for any arithmetic sequence?
4. What happens if you change the common difference in this sequence?
5. How would you determine if a given number belongs to this sequence?

**Tip:** Always double-check if the difference between terms in a sequence is constant before assuming it's arithmetic.

Gib für diese Zahlenfolge eine mögliche Darstellung

Discover how to represent the arithmetic sequence 2, 5, 8, 11. This problem illustrates how to find the nth term of an arithmetic sequence using the formula a_n = a_1 + (n-1) * d. Suitable for Grades 6-8.

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