Respuesta :
Answer: an = 9n + 23
Step-by-step explanation:
The formula for determining the nth term of an arithmetic sequence is expressed as
an = a1 + (n - 1)d
Where
a1 represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 32
d = 9
Therefore, the equation or rule for the given arithmetic sequence would be
an = 32 + (n - 1)9
Expanding the brackets, it becomes
an = 32 + 9n - 9
an = 9n + 32 - 9
an = 9n + 23
