Problem

2021 Gauss 8 Problem 16

The seven numbers 1, 2, 5, 10, 25, 50, 100 repeat to form the following pattern 1, 2, 5, 10, 25, 50, 100, 1, 2, 5, 10, 25, 50, 100, \ldots What is the sum of the 18^{\text{th}} and the 75^{\text{th}} numbers in the pattern?

\textbf{(A)}\ 110\quad \textbf{(B)}\ 11\quad \textbf{(C)}\ 27\quad \textbf{(D)}\ 7\quad \textbf{(E)}\ 35

If there are no answer choices shown, enter a numerical answer.


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