Chapter 10 - Section 10.3 - Geoetric Sequences and Series - Exercise Set - Page 1073: 7

$-6, 30, -150,750,-3750$

Here $ a_{n}=-5a_{n-1}$ We are given that $ a_1=-6$ $ a_2=-5a_{2-1} = (-5)(-6)=30 ;\\ a_3=-5a_{3-1} = (-5)(30)=-150 ; \\ a_4= -5a_{4-1} = (-5)(-150)=750; \\ a_5=-5a_{5-1} = (-5)(750)=-3750$ Hence, the first five terms are: $-6, 30, -150,750,-3750$