Does anyone know who this is and what he is famous for?

Which of the following is the missing term, a2, of the geometric sequence in which a1=2 and a3=200

Josh has a rewards card for a movie theater he receives 15 points for becoming a rewards card holder he earns 3.5 points for each visit to the movie theater he needs at least 55 points to earn a free movie ticket which inequality can josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket.

Could someone with number 1 and 2