Final answer:
The explicit rule for the nth term of each sequence is given by the formula: an = a1 - (n-1)d or an = a1 + (n-1)d, depending on the sequence.
Step-by-step explanation:
To find the explicit rule for the nth term of a sequence, we need to identify the pattern or relationship between the terms. Let's look at each sequence:
a. 60, 52, 44, 36:
Each term is obtained by subtracting 8 from the previous term. So, the explicit rule is given by the formula: an = a1 - (n-1)d, where a1 = 60 and d = 8.
b. 50, 45, 40, 35, 30:
Each term is obtained by subtracting 5 from the previous term. So, the explicit rule is given by the formula: an = a1 - (n-1)d, where a1 = 50 and d = 5.
c. 2, 5, 8, 11, 14:
Each term is obtained by adding 3 to the previous term. So, the explicit rule is given by the formula: an = a1 + (n-1)d, where a1 = 2 and d = 3.