Instructions: Write the explicit rule. Sequence: 26,18,10,2,…26,18,10,2,…Explicit Rule: an=𝑎𝑛= Answer 1 Question 13
Question
Instructions: Write the explicit rule. Sequence: 26,18,10,2,…26,18,10,2,…Explicit Rule: an=𝑎𝑛= Answer 1 Question 13
Solution
The given sequence is decreasing by 8 each time. The explicit rule for a sequence tells you how to find the nth term based on its position in the sequence.
The first term (a1) is 26.
The common difference (d) is -8 (each term is 8 less than the previous term).
The explicit rule for an arithmetic sequence is given by:
an = a1 + (n-1)*d
So, for this sequence, the explicit rule would be:
an = 26 + (n-1)*(-8)
This simplifies to:
an = 26 - 8n + 8
Further simplifying gives:
an = 34 - 8n
So, the explicit rule for this sequence is an = 34 - 8n.
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