Chapter 11 - Sequences; Induction; the Binomial Theorem - Section 11.1 Sequences - 11.1 Assess Your Understanding - Page 827: 46

$a_1=A \\ a_2=r A \\ a_3 = r^2 A \\ a_4 =r^3 A \\ a_5 =r^4 A $

We are given that $a_n=r a_{n-1}$ and $a_1=A$. In order to determine the remaining values, we will have to substitute $n=3,4,5$ into the given sequence. We use previous terms to compute successive terms as follows: $ a_2=r a_1 =r A \\ a_3=r a_2=r^2 A \\ a_4=r a_3=r^3 A \\ a_5=r a_4=r^4 A $