An arithmetic sequence is defined by a constant difference between consecutive terms. For the given sequence $a = \{17, 26, 35, \dots\}$, the common difference ($d$) is calculated as:

$d = a_2 - a_1 = 26 - 17 = 9$

The recursive formula for an arithmetic sequence is written as:

$a_{n} = a_{n-1} + d$

Recursive Formula:

$a_1 = 17, \quad a_n = a_{n-1} + 9 \quad \text{for } n \geq 2$

This formula states that each term ($a_n$) is the previous term ($a_{n-1}$) plus the common difference $d = 9$.

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Do you want more details or have further questions?

Here are 5 related questions to expand your understanding:

1. What is the explicit formula for the same arithmetic sequence?
2. How would you find the 10th term of the sequence using the recursive formula?
3. Can you derive a formula to find the sum of the first $n$ terms of this sequence?
4. What is the difference between recursive and explicit formulas in arithmetic sequences?
5. How can you verify that a sequence is arithmetic?

Tip: Use the explicit formula for easier calculation of terms far into the sequence.