Answer
1, 2, 7, 32, 157
Work Step by Step
Given $a_{1}$=1, $a_{n+1}$= 5$a_{n}$-3
$a_{1}$ = 1
$a_{2}$ = 5*$a_{1}$-3 = 5*1-3=2
$a_{3}$ = 5*$a_{2}$-3 = 5*2-3 = 7
$a_{4}$ = 5*$a_{3}$-3 = 5*7-3 = 32
$a_{5}$ = 5*$a_{4}$-3 = 5*32-3 = 157
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