Answer:
The last term on the paper after 50 students = 
Step-by-step explanation:
The general term of the equation:
Here, the first term = 1
Second term = 2(1) + 1 = 3 = 4 - 1 = 
Third Term = 2(a2) + 1 = 2(3) + 1 = 7 = 8 -1 = 
Fourth term = 2( a3) + 1 = 2(7) + 1 = 15 = 16 - 1 = 
Continuing this way, we get
Last term : 
So, the 50th term of this sequence is

Hence, the last term on the paper after 50th student changes it = 
By definition, two angles are supplementary if the sum of them is 180 degrees. In this case (see figure attached with the answer) the line AD is transversal to lines AB and DC. This is a proof of the Same-side interior angle theorem.
This theorem states that if we have two lines that are parallel and we intercept those two lines with a line that is transversal to both, same-side interior angles are formed, and also sum 180º, in other words, they are supplementary angles.
Then:
By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are <em><u>same-side interior angles</u></em>. Because AB and DC are <em><u>parallel</u></em>, the same-side interior angles must be <em><u>supplementary</u></em> by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.
The answer to your problem is A 1/3, is the possibility for a passenger who arrives at noon.