So, we have a common difference of 7 (9 - 2 = 16 - 9 is true)
For an arithmetic sequence, we have a generalised form:
[tex]a_n = a_1 + (n - 1)d[/tex], where [tex]a_1[/tex] is the first term, n is the nth place, and d is the common difference.
Now, to find the nth term, we substitute n as n to get:
[tex]a_n = 2 + 7(n - 1)[/tex]
Hence, to find the 100th term, we substitute n as 100 to get:
[tex]a_100 = 2 + 7(100 - 1)[/tex]
[tex]= 2 + 7(99)[/tex]
[tex]= 2 + 693[/tex]
[tex]= 695[/tex]
Thus, the 100th term is 695.
