Problem:
What is the th number in the arithmetic sequence:
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Adding to each term in the original arithmetic sequence yields the sequence in which the one-hundredth term is . Subtracting from each term shows that is the one-hundredth term of the original sequence.
We may obtain the th term in the sequence by adding to the first term a total of times. Thus the $100 $th term is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions