A number sequence is a set of numbers defined by a rule that is valid for all positive integers.
For each number sequence, find the next three terms (separated by commas) as well as the $100^{th}$ term.
For example: $1,2,3,4,5,\fbox{6,7,8}\ldots\fbox{100}$
$2,4,6,8,10,$
$\ldots$
$-4,-1,2,5,8,$
$\ldots$
$100,89,78,67,56,$
$\ldots$
$1,4,16,64,256,$
$\ldots$
*Write the 100th term in the form $a^b$
$1,-3,9,-27,81,$
$\ldots$
*Write the 100th term in the form $\left(-a\right)^b$
$9,109,209,309,409,$
$\ldots$
$2,6,12,20,30,$
$\ldots$
$3,8,15,24,35,$
$\ldots$
$1,\frac{1}{2},\frac{1}{4},\frac{1}{8},\frac{1}{16},$
$\ldots$
*Write the 100th term in the form $\frac{a}{b^c}$
$4,16,36,64,100,$
$\ldots$
$4,20,64,176,448,$
$\ldots$*You don't need to find the 100th term
$\frac{1}{2},\frac{1}{2},\frac{3}{8},\frac{1}{4},\frac{5}{32},$
$\ldots$*You don't need to find the 100th term
$1,1,2,3,5,8,13,21,$
$\ldots$*You don't need to find the 100th term
[challenge] $2,6,7,5,0,-8,-19,$
$\ldots$*You don't need to find the 100th term
[challenge] $2,3,3,5,10,13,39,43,172,177,$
$\ldots$*You don't need to find the 100th term
[challenge] $1,11,21,1211,111221,312211,13112221,$
$\ldots$*You don't need to find the 100th term