The sequence given in the image appears to be a list of square numbers starting from $3^2 = 9$:

$3^2, 4^2, 5^2, 6^2, 7^2, 8^2, \dots$

Observations:

1. The $n$-th term in the sequence is given by: $a_n = (n+2)^2$ where $n$ is the index (1st, 2nd, etc.).

Steps to solve:

1. Find the 14th term:

Substituting $n = 14$: $a_{14} = (14 + 2)^2 = 16^2 = 256$

2. Find the 28th term:

Substituting $n = 28$: $a_{28} = (28 + 2)^2 = 30^2 = 900$

Final Answer:

• 14th term: $256$
• 28th term: $900$

Would you like a detailed explanation of the formula derivation or further steps?

Related Questions:

1. What is the general formula for the $n$-th term in this sequence?
2. Can you find the 100th term in this pattern?
3. What is the difference between consecutive terms in this sequence?
4. How would this sequence be visualized on a graph?
5. How can you verify the correctness of the formula $a_n = (n+2)^2$?

Tip:

Always check patterns in differences or squares when working with sequences involving squares or higher powers.