## Precalculus (6th Edition) Blitzer

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.