Respuesta :

In order to solve for a nth term in an arithmetic sequence, we use the formula written as:

an = a1 + (n-1)d

where an is the nth term, a1 is the first value in the sequence, n is the term position and d is the common difference.

First, we need to calculate for d from the given values above.  
d=11-8=3

at n=100
an = a1 + (n-1)d
a100 = 11 + (100-1)3
a100 = 308