$p_n = 1.02 p_{n-1} + 50$ with $p_0 = 1000$

$p_n = 0.02 p_{n-1} + 50$ with $p_0 = 1000$

$p_n = 1.02 p_{n-1} + 1050$ with $p_0 = 0$

$p_n = p_{n-1} + 50.02$ with $p_0 = 1000$