Let $\displaystyle x_1 = 1$ and $\displaystyle x_{n+1} = 2x_n + 1, ~ n \geq 1$.
Find and prove a general formula for $\displaystyle x_n$.
Not sure where to start ... Do you solve for $\displaystyle x_n$ ?
Let $\displaystyle x_1 = 1$ and $\displaystyle x_{n+1} = 2x_n + 1, ~ n \geq 1$.
Find and prove a general formula for $\displaystyle x_n$.
Not sure where to start ... Do you solve for $\displaystyle x_n$ ?