# Ink on Sequences #3

Algebra Level 3

For all positive integers $$n$$, the sequence $$\{a_n\}$$ and $$S_n$$ satisfy:

$\large S_n=\sum_{k=1}^n a_k \\ \large a_n+S_n=2n$

Find the value of $$\displaystyle \lim_{n \to \infty} a_n$$.

This problem is a part of <Inconsequences!> series.

×

Problem Loading...

Note Loading...

Set Loading...