Identical Sequences - Definition & Examples

You find a page in an old textbook and you see some sequences. These sequences are listed under "Arithmetic Sequences". Since the book is so old, you can't identify all the numbers, but these are the available details:

• For the first sequence, you have that the $1^\text{st}$ number is $5$, the $5^\text{th}$ number is $17$ and the $12^\text{th}$ number is $38$.
• For the second sequence, you have that the $2^\text{nd}$ number is $8$ and the $3^\text{rd}$ number is $11$.
• For the third sequence, you have that the $7^\text{th}$ number is $23$ and the $11^\text{th}$ number is $35$.