Answer
25 pounds of decay
175 pounds of decay in the first three years
Work Step by Step
$a_n = 200*.5^n$
$n=3$
$a_n = 200*.5^n$
$a_3 = 200*.5^3$
$a_3=200*.125$
$a_3=2*12.5$
$a_3=25$
25 pounds of decay
First three years:
$n=1$
$a_n = 200*.5^n$
$a_1 = 200*.5^1$
$a_1=200*.5$
$a_1=100$
$n=2$
$a_n = 200*.5^n$
$a_2 = 200*.5^2$
$a_2=200*.25$
$a_2=50$
$100+50+25=175$
175 pounds of decay in the first three years