Fermat 2023 Part B - Question 15, CEMC UWaterloo

All Submissions
Best Submissions

Difficulty: 5

This problem is tagged with fermat, fermat23, highschool.

(Fermat 2023, Part B, Question 15, CEMC - UWaterloo)

A sequence has $101$ terms, each of which is a positive integer. If a term, $n$, is even, the next term is equal to $\frac{1}{2} n + 1$. If a term, $n$, is odd, the next term is equal to $\frac{1}{2}(n + 1)$. For example, if the first term is $7$, then the second term is $4$ and the third term is $3$. If the first term is $16$, the $101st$ term is
$(A)$ $1$
$(B)$ $2$
$(C)$ $3$
$(D)$ $4$
$(E)$ $5$

Answer Submission Note(s)
Your answer should be a single capital letter, e.g. 'A'.

Please login or sign up to submit and check if your answer is correct.

flag Report Content
You should report content if:
  • It may be offensive.
  • There is something wrong with it (statement or difficulty value)
  • It isn't original.
Thanks for keeping the Math Contest Repository a clean and safe environment!