An arithmetic sequence is an ordered list of numbers where the next number is found by adding the same amount to the number before. (2,5,8,11... is one where you add 3 to get the next number)
The equation for arithmetic sequence is
[tex] A_{n} = A_{1} +(n-1)d[/tex]
where [tex]A_{n}[/tex] is the "n th" number in the sequence
([tex]A_{1}[/tex] is the first number in the sequence)
d is the number you add to get the next number
[tex] A_{n} = A_{1} +(n-1)d[/tex]
[tex] A_{50} = 7 +(50-1)(5)[/tex]
[tex] A_{50} = 7 +(49)(5)[/tex]
[tex] A_{50} = 7 +245[/tex]
[tex] A_{50} =252[/tex]
The answer is B. 252