The answer is B. 498
An arithmetic sequence is an ordered list of numbers where the next number is found by adding on to the last number (ex: 2,5,8,11... is a sequence where 3 is added on to find the next number).
The equation for an arithmetic sequence is
[tex]A_{n} =A_{1} + (n-1)d[/tex]
[tex]A_{n}[/tex] is the "n-th" number in the sequence (ex: [tex]A_{1}[/tex] is the first term in the sequence)
d is the number you add (common difference) to find the next number
The first number in the sequence is 3 so [tex]A_{1} =3[/tex]
8-3=5 , 13-8=5 , and 18-13=5 so d=5 (add 5 to get the next number)
[tex]A_{n}=A_{1}+(n-1)d[/tex]
[tex]A_{100}=3+(100-1)(5)[/tex]
[tex]A_{100}=3+(99)(5)[/tex]
[tex]A_{100}=3+495[/tex]
[tex]A_{100}=498[/tex]
The answer is B. 498
