Answer
See below.
Work Step by Step
According to the exercise:
$a_1=2$
$a_2=(a_1)^2+1=2^2+1=5$
$a_3=(a_2)^2+1=5^2+1=26$
$a_4=(a_3)^2+1=26^2+1=677$
$a_5=(a_4)^2+1=677^2+1=458330$
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