For The Mathematically Inclined

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Solution to Problems from 06/04/15

Problem #1

Find the fifth term in the following series 77, 49, 36, 18, ...

Solution:
8.

Problem #2

If we set out by ranks of 10, we will be one short. We will also be one short if we set out by ranks of 9, 8, 7, 6, 5, 4, 3, and even 2. Yet there are fewer than 5000 participants. How many are we?

Solution:
2519.

Congratulations to Abhimanyu Bhargava, who was the winner of the last set of puzzles.