In an arithmetic sequence where the first term is $$ 2 $$ and the third term is $$ 8 $$, what is the common difference?

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In an arithmetic sequence, each term is obtained by adding a common difference $$ d $$ to the previous term. The general formula for the $$ n $$-th term of an arithmetic sequence is:

$$
a_n = a_1 + (n-1)d
$$

Given:
- The first term $$ a_1 = 2 $$
- The third term $$ a_3 = 8 $$

Plugging these values into the formula for the third term:

$$
a_3 = a_1 + 2d
$$
$$
8 = 2 + 2d
$$

Subtract 2 from both sides:

$$
6 = 2d
$$

Divide both sides by 2:

$$
d = 3
$$

**The common difference is 3.**
The common difference is 3.

In an arithmetic sequence where the first term is and the third term is , what is the common difference?

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