Consider the Recurrence Relation $a_{n}=-a_{n-1}+n$ (A) Write the Associated Homogeneous Recurrence Relation

Short Answer

Consider the recurrence relation $a_{n}=-a_{n-1}+n$
(a) Write the associated homogeneous recurrence relation. (b) Find the general solution to the associated homogeneous recurrence relation. (c) Find a particular solution to the given recurrence relation. (d) Write the general solution to the given recurrence relation. (e) Find the particular solution to the given recurrence relation when a0 = 1.