Question

I need help with two questions. I need to write the first five sequences for each problem. Please let me know what they are and how to find them. Thank you much!

Problems:


`a_(1)=-6,a_(n)=4*a_(n)-1\\a_(1)=3,a_(n)=a_(n)-1+9`

Answer 1

1. -6, -24, -96, -384, -1,536

2. 3, 12, 21, 30, 39

Explanation:

1. Given

`a_1=-6\\ \\a_n=4a_(n-1)`

Find
`a_2, \ a_3,\ a_4,\ a_5:`

`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`

2. Given

`a_1=3\\ \\a_n=a_(n-1)+9`

Find
`a_2, \ a_3,\ a_4,\ a_5:`

`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`