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2,___, 8, ___, ___, 17 The first, third, and sixth terms of an arithmetic sequence are shown. What is the common difference between consecutive terms in the arithmetic sequence? Type your answer in the box. Backspace to erase.

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Answer:

3

Step-by-step explanation:

The pattern is 2, 5, 8, 11, 14, 17.

Hopefully this helps!

In the Arithmetic sequence, the common difference between consecutive terms is 3 .

The general term of an arithmetic sequence is,

                  [tex]a_{n}=a_{1}+(n-1)d[/tex]

where d is common difference.

Given that,  first term [tex]a_{1}=2,a_{3}=8[/tex]

So,       [tex]a_{3}=a_{1}+2d\\\\8=2+2d\\\\2d=8-2=6\\\\d=6/2=3[/tex]

Therefore, common difference is 3.

Learn more about arithmetic sequence here:

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