Respuesta :

Look at each term. How does the next one change? what is added?

The answer is 6, because there is an increase of 6 for each term

Answer:

common difference  = 6.

Step-by-step explanation:

Given : 2, 8, 14, 20, 26, ......

To find : What is the common difference between successive terms in the sequence.

Solution : We have given that 2, 8, 14, 20, 26, ......

Common difference (d)  = [tex]a_{2} - a_{1}[/tex].

Where ,  [tex]a_{2}[/tex]. = any term other than first term

[tex]a_{1}[/tex]. = previous term.

Then common difference =  8 - 2 = 6.

14 - 8 = 6.

20 - 14 = 6.

Therefore, common difference  = 6.