Use the equation an = a1 + (n - 1) d to write a rule for the arithmetic sequence 32, 41, 50, ...

The common difference is 9.

an = 9n + 9

an = 9n + 23

an = 9n + 32

an = 9n + 1

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