Question 20
Eight positive integers are arranged in a row as shown below.
$$2017,\ a,\ b,\ c,\ d,\ e,\ f,\ g$$
Starting from $b$, each number is the average of the previous two numbers. If the difference between $f$ and $g$ is 1, what is the smallest possible value of $a$?
$$2017,\ a,\ b,\ c,\ d,\ e,\ f,\ g$$
Starting from $b$, each number is the average of the previous two numbers. If the difference between $f$ and $g$ is 1, what is the smallest possible value of $a$?