Let us consider the sequence $v_{n}$ defined by: $$v_{n}=∑_{i=3}^{n}d_{i}∏_{j=i+1}^{n}a_{j}$$ where $d_{i}$ and $a_{j}$ are two real sequences.
My question is: Find a relation between $v_{n}$ and $v_{n-1}$.
My attempt: I can find the relation between the first terms but I am not able to generalized the obtained formula.