Final answer:
The recursive rule for the sequence 62, 56, 50, 44 is Sn = Sn-1 - 6 for n > 1, with a base step of S1 = 62. This rule allows for the calculation of any term in the sequence after the first by consistently subtracting 6.
Step-by-step explanation:
The given sequence is 62, 56, 50, 44, which shows that each term is 6 less than the term before it. This pattern is consistent throughout the sequence, indicating a common difference of -6. To write the recursive rule, we use the formula Sn = Sn-1 - 6, where Sn is the nth term and Sn-1 is the term before it.
Recursive Rule:
- Base Step: S1 = 62 (The first term in the sequence)
- Recursive Step: For n > 1, Sn = Sn-1 - 6
This recursive rule can be used to find any term in the sequence after the first term by subtracting 6 from the previous term.