International Youth Math Challenge 2024 | Qualification Round | Problem A Solution (Part I)

In this video, we tackle Problem A from the International Youth Math Challenge 2024 Qualification Round.

The challenge is to continue two given sequences of numbers and derive an equation to calculate the n-th value. The sequences are:
2, 5, 10, 17, 26, 37,... and 1, 2, 8, 48, 384, 3840,... The task is to find the 7th term along with the general formula for the n-th term in each sequence.

Join me as we dive deep into analyzing the patterns in both sequences, uncovering the structure, and using mathematical reasoning to develop equations that work for any n-th term. This is part 1 of our exploration, so stay tuned for the final part where we will reveal the complete solution!

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