Answer
2,10,50,250
Work Step by Step
To find the first four terms of the sequence whose general term is $a_{n}$ =5$a_{n-1}$, we replace n in the formula with 2,3, and 4.
n=1, $a_{1}$ = 2
n=2, $a_{2}$ =5$a_{2-1}$ = 4$a_{1}$
Substitute $a_{1}$ as 2
$a_{2}$ =5*2 = 10
n=3, $a_{3}$ =5$a_{3-1}$ = 5$a_{2}$
Substitute $a_{2}$ as 10
$a_{3}$ = 5*10= 50
n=4,$a_{4}$ =5$a_{4-1}$= 5$a_{3}$
Substitute $a_{3}$ as 50
$a_{4}$ =5*50 = 250
The first four terms are 2,10,50,250.
