Find the 8th Term in the Arithmetic Sequence: 2, 5, 8, ...

To solve for the 8th element in the sequence, follow these steps:

• Step 1: Identify the sequence pattern.
  Calculate the differences: $5 - 2 = 3$ and $8 - 5 = 3$. This pattern shows the sequence increases by 3 each time, indicating an arithmetic sequence with common difference $d = 3$.
• Step 2: Use the arithmetic sequence formula $a_n = a_1 + (n-1) \cdot d$.
  Given $a_1 = 2$, $d = 3$, and $n = 8$:
  Substitute these values into the formula:
• $a_8 = 2 + (8-1) \cdot 3$
• $a_8 = 2 + 7 \cdot 3$
• $a_8 = 2 + 21$
• $a_8 = 23$

Therefore, the 8th element in the sequence is $23$.