with and .
When n = 2, the problem becomes
Substitute the known values and find T3.
Hi guys, rhe following is a question that I busted my brains over, but could not get, so help would be greatly appreciated.
And I don't know how to properly use latex, so please bear with me.
Q) A sequence satisfies with = 3 and = 2.
Find and
Also, T1=2 and T2=7
Question without latex: A sequence satisfies [term 'n' = 0.5*[term 'n-1' + term 'n+1']. Find term's 3 and 4.
Sorry I have absolutely no idea how to do this, one, also my latex skills are pretty poor, so ANY HELP WOULD BE GREATLY APPRECIATED.
The difference equation written in 'standard form' is...
, (1)
... and its general solution depends from the root of algebraic equation...
(2)
... i.e. x=1 with multeplicity 2. The general solution is then...
(3)
... that with the 'initial conditions' becomes...
(4)
Kind regards