Respuesta :

the common difference between successive terms in the sequence is the sequences  ………2,8,14,20,26,is :6

common different =26-20=20-14=14-8=8-2=6

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Answer:

The common difference between successive terms in the sequence is:

                                          6

Step-by-step explanation:

We know that for any arithmetic sequence of the type:

                [tex]a,\ a+d,\ a+2d,\ a+3d,\ ......[/tex]

with the common difference d such that the common difference is given by:

                 [tex]d=a_n-a_{n-1}[/tex]

Here the arithmetic sequence is given by:

                   2 , 8 , 14 , 20 , 26

   Hence, the common difference is given by:

                     [tex]d=8-2\\\\d=6[/tex]

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