Explanation:
The explicit formula for this sequence can be written as follows:
a_n = 100 / (2^(n-1))
In this formula:
"a_n" represents the nth term of the sequence.
"n" is the position of the term in the sequence (1 for the first term, 2 for the second term, and so on).
100 is the initial term of the sequence.
2^(n-1) represents the factor by which the sequence is decreasing as you move from one term to the next. When n = 1 (the first term), 2^(1-1) = 2^0 = 1, so you have 100 / 1 = 100. When n = 2 (the second term), 2^(2-1) = 2^1 = 2, so you have 100 / 2 = 50, and so on.
So, the explicit formula generates the terms 100, 50, 25, 5, and so forth, by dividing 100 by 2 raised to the power of (n-1).