Answer:
The expression used to find the nth term of each sequence 9, 17, 25, 33 will be:
Step-by-step explanation:
Given the sequence
9, 17, 25, 33
a₁ = 9
Determining the common difference
d = 17-9 = 8
d = 25-17 = 8
d = 33-25 = 8
As the common difference between the adjacent terms is same and equal to
d = 8
Therefore, the given sequence is an Arithmetic sequence.
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
substituting a₁ = 9, d = 8 in the equation
[tex]\:a_n=9+8n-8[/tex]
[tex]a_n=8n+1[/tex]
Therefore, the expression used to find the nth term of each sequence 9, 17, 25, 33 will be:
