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Problem of the Week
Problem C
The Sequence of the Year

In a sequence of numbers, each number in the sequence is called a term. In the sequence \(2, 4, 6, 8,\) the first term is \(2,\) the second term is \(4,\) the third term is \(6,\) and the fourth term is \(8.\)

In another sequence, the first term is \(24.\) We can determine the next terms in the sequence as follows:

By doing this, we can determine that the first three terms in the sequence are \(24,\) \(12,\) and \(6.\)

What is the 2024th term in the sequence?

Themes: Algebra, Number Sense