`2,8,14,20,...` Write an expression for the n'th term of the sequence. (There is more than one correct answer.)

Expert Answers

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Given the sequence: 2, 8, 14, 20, ...

The given sequence is an arithmetic sequence. The sequence is arithmetic because the common difference between each term is 6.

In this sequence the common difference is 6, therefore let d=6. The first term, `a_1`   is 2, therefore  let `a_1=2` .

 

The formula to find the nth term of an arithmetic sequence is

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

Substitute in the `a_1`  and d then simplify the expression.

`a_n=2+(n-1)(6)`

`a_n=2+6n-6`

`a_n=6n-4`

 

Final Answer:

The expression for the nth term of the sequence is `a_n=6n-4.`

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