For each of the following sequences , determine the general rule (nth term) and hence the 100th term (a)5,8,11,14... (b)3,7,11,15...
(c) 4,0,-4,-8...
(d) 5,1,-3,-7...
(e) 2½,4½,6½...
(f) -13,-7,-1...

nb:all calculations must be shown​

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?

Factor the monomial completely 42a3b3

Gabriel determined that his total cost would be represented by 2.5x + 2y – 2. his sister states that the expression should be x + x + 0.5x + y + y – 2. who is correct? explain.