# A sequence is defined by #a_n=a_(n-1)+2a_(n-2)#, with #a_1=-3#, #a_2=4#. What is the value of #a_6#?

##### 1 Answer

Jan 12, 2017

#### Explanation:

Define the shift operator E by

Now, the given equation becomes

The general solution of this difference equation is

zeros of

Now,

The initial value

and

Solving,

It follows that