Chapter 2.4, Problem 16E

Find the solution to each of these recurrence relations with the given initial conditions. Use an iterative approach such as that used in Example l0.

   $a_n=-a_{n-1},a_0=5$

   $a_n=a_{n-1}+3,a_0=1$

   $a_n=a_{n-1}-n,a_0=4$

   $a_n=2a_{n-1}-3,a_0=-1$

   $a_n=\left(n+1\right)a_{n-1},a_0=2$

   $a_n=2n{a}_{n-1},a_0=3$

   $a_n=-a_{n-1}+n-1,a_0=7$