Given a sequence of random variables $Y_1$, $Y_2$ etc. and $X_n$ defined as $\sum_{k=1}^{n}Y_k$ with $n>1$

Question

Let $Y_1$, $Y_2$ be random variables and set $X_n=\sum_{k=1}^{n}Y_k$ $n\ge1$, I should prove that $\sigma\{Y_1,Y_2,...,Y_n\}=\sigma\{X_1,X_2,...,X_n\}$.

Can you kindly help me to show this? Thank you!