what is the common difference between successive terms in the sequence? 2, 8, 14, 20, 26, ... -6 -4 4 6

Answer:

D. 6

Explanation:

Step1: Define common - difference formula

The common difference $d$ of an arithmetic sequence is $d=a_{n + 1}-a_{n}$, where $a_{n+1}$ is the $(n + 1)$ - th term and $a_{n}$ is the $n$ - th term.

Step2: Select two successive terms

Let's take the first two terms, $a_1 = 2$ and $a_2=8$.

Step3: Calculate the common difference

$d=a_{2}-a_{1}=8 - 2=6$. We can double - check with other successive terms. For example, if $a_3 = 14$ and $a_2 = 8$, then $d=a_{3}-a_{2}=14 - 8=6$.