hey everyone im new here and i've got a question which gives me the recursive definition of a sequence and I'm asked to find the nth term.

here it is:

Find a formula for the n-th term tn of the sequence (t_{n}) defined by

a) t_{1}= 3; t_{n}= 3t_{n−1}/2, n>=2.

the next part is asking me to find the recursive definition of the formula:

b) t_{n}= 2 (n + 1)! 5n, n >=1.

could someone take me through the steps rather than just posting the answer so I can do it myself the next time.