Final answer:
The formula for the nth term of the sequence 15, 24, 33 is an = 15 + (n-1)9.
Step-by-step explanation:
The given sequence is 15, 24, 33. To find a formula for the nth term of this sequence, we observe that each term is obtained by adding 9 to the previous term. So, to find the nth term, we can use the formula:
an = a1 + (n-1)d
Where an is the nth term, a1 is the first term, and d is the common difference. In this case, a1 = 15 and d = 9.
Therefore, the formula for the nth term of the sequence is:
an = 15 + (n-1)9