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Answer :
Final answer:
The arithmetic sequence has a recursive formula of an = an-1 + 8 and an explicit formula of an = 8n - 6.
Explanation:
An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. In this case, the difference between consecutive terms is 8 (10 - 2 = 8).
To find the recursive formula, we can observe that each term is obtained by adding 8 to the previous term. So, we can write the recursive formula as:
an = an-1 + 8
To find the explicit formula, we can start with the first term and notice that each term can be obtained by multiplying the term number n by 8 and subtracting 6. So, the explicit formula is:
an = 8n - 6
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