Answer
*All decimal answers are rounded
$a_1 = 54.45$
$a_2 = 54.95$
$a_3 = 54.99$
$a_4 = 54.999$
Converges; The limit of the sequence is $55$.
Work Step by Step
$a_{n+1} = \frac{a_n}{11} + 50$; $a_0 = 50$
*All decimal answers are rounded
$a_1 = \frac{a_0}{11} + 50 = 54.45$
$a_2 = \frac{a_1}{11} + 50 = 54.95$
$a_3= \frac{a_2}{11} + 50 = 54.99$
$a_4 = \frac{a_3}{11} + 50 = 54.999$
Converges and approaches $55$. The terms of the sequence seems to get closer and closer to $55$.
