Hi could someone please check my work

A pop size is modeled by the recurrance system in 2008:

A0=2400, An+1=1.107An-260 (n=0,1,2…)

My answers to check

The population size predicted in 2010 is

(2009) A1 =1.107 x 2400 - 260 =2396.8

(2010) A2= 1.107 x 2400 -260=2393.3

A closed form for the above

An=2400 (1.107) -260 (1.07^n-1) (n=0,1,2,....)

Population predicted 2020 =2290