The function f satisfies the equation $$f ( n ) = 2 \cdot f ( n - 1 ) + 1$$ for integers $n \geq 1$. Given that $f ( 0 ) = 1$, what is $f ( 2 )$? A) 8 B) 7 C) 6 D) 5 E) 4
The function f satisfies the equation
$$f ( n ) = 2 \cdot f ( n - 1 ) + 1$$
for integers $n \geq 1$.\\
Given that $f ( 0 ) = 1$, what is $f ( 2 )$?\\
A) 8\\
B) 7\\
C) 6\\
D) 5\\
E) 4