Hello i need help please,

u0= 1

un+1=( 3un + 2vn)/5

v0 = 2

vn+1 = (2un+3vn)/5

1.Calculate u1,u2,v1,v2

2.We consider the sequence (dn) defined for any natural number n by dn = vn-un

a. Show that the sequence (dn) is a geometric sequence of which we will give its common ratio and its first term.

b. Deduce the expression of dn depending on n

3. We consider the sequence (sn) Defined for any natural number n by sn = un+ vn

a. Calculate s0, s1and s2 . What can we guess?

b. Show that, for all nEN, sn+1= sn. What can we deduce?

4. Deduce an expression of un and vn depending on n.

5.determine depending on n E N

a. Tn= u0 + u1 + ... + un

b. Wn= v0 + v1 + ... + vn

actually i answered the first question and the second and i found the common ratio is 1/5 and the first term 1 so dn= 1*1/5^n

For the 3. I found 3

And i cant resolve the 4 and 5 can you help me