Solving Recurrence Relation w/ Initial Conditions for n-digit Sequences

[hyderman]

hello

any one can help me with this question

thanx

(a) Find a recurrence relation for the number of n-digit sequences over the alphabet {0, 1, 2, 3, 4} with at least one 1 and the first 1 occurring before the first 0 (possibly no 0’s).

(b) What are the initial conditions?

(c) Solve the recurrence relation in Part (a) satisfying the initial condition

 

[cristo]

You need to show some work before we can help you.

 

[hyderman]

a) we have property starts with 0,1,2.3.4
so there are n-1 digits of sequence
sio i think the recurrence should be 0+(an-1)^3times therefore
3an-1 + 5


b) initial condition a0=1 and a1=1

c) 3n-1+ 5n-1 + an-1


please i just need some one to explain this in steps ... this type of question will be in the test and i am not sure how to solve it

thanx