Answer
Initial population: 250 people
At start of year 10: 925 people
Work Step by Step
$a_n = 250 + 75(n-1)$
$n=1$
$a_n = 250 + 75(n-1)$
$a_1 = 250 + 75(1-1)$
$a_1=250+75*0$
$a_1 = 250 + 0$
$a_1=250$
$n=10$
$a_n = 250 + 75(n-1)$
$a_10 = 250 + 75(10-1)$
$a_10=250+75*9$
$a_10=250+675$
$a_10=925$
