Yes, 0 + 2 = 2
2 + 2 = 4
4 + 2 = 6.
Since they're just ADDING 2, not MULTIPLYING by 2, it's arithmetic, not geometric.
The six scores have to average out to the mean, so their sum has to be six times the mean. Since the sum of the first five is 5 more than 5 times the mean, the remaining score must be 5 less than the mean.
Answer: 5 points below the mean
If you draw a diagram of this, your given values of the resulting triangle give you the sides opposite and adjacent of the angle. The formula that uses these sides is tangent.
The tangent of an angle is equal to the ratio of the opposite side over the other non-hypotenuse side (adjacent).
Therefore;





Where x is the length of the string in feet.