Answer:
[tex]a_{17} = 49[/tex]
Step-by-step explanation:
Given
Sequence: Arithmetic
[tex]d = 3[/tex]
[tex]a_1 = 1[/tex]
Required
Determine the 17th term
The nth term of an arithmetic sequence is:
[tex]a_n = a_1 + (n - 1) d[/tex]
In this case: n = 17
So, we have:
[tex]a_{17} = 1 + (17 - 1) * 3[/tex]
[tex]a_{17} = 1 + 16 * 3[/tex]
[tex]a_{17} = 1 + 48[/tex]
[tex]a_{17} = 49[/tex]
Hence, the 17th term is 49
