Answer:
1. -6, -24, -96, -384, -1,536
2. 3, 12, 21, 30, 39
Step-by-step explanation:
1. Given
[tex]a_1=-6\\ \\a_n=4a_{n-1}[/tex]
Find [tex]a_2, \ a_3,\ a_4,\ a_5:[/tex]
[tex]a_2=4a_{2-1}=4a_1=4\cdot (-6)=-24\\ \\a_3=4a_{3-1}=4a_2=4\cdot (-24)=-96\\ \\a_4=4a_{4-1}=4a_3=4\cdot (-96)=-384\\ \\a_5=4a_{5-1}=4a_4=4\cdot (-384)=-1,536[/tex]
2. Given
[tex]a_1=3\\ \\a_n=a_{n-1}+9[/tex]
Find [tex]a_2, \ a_3,\ a_4,\ a_5:[/tex]
[tex]a_2=a_{2-1}+9=a_1+9=3+9=12\\ \\a_3=a_{3-1}+9=a_2+9=12+9=21\\ \\a_4=a_{4-1}+9=a_3+9=21+9=30\\ \\a_5=a_{5-1}+9=a_4+9=30+9=39[/tex]
