Discussion
What is the 207th element from right of the sequence: Z, Y, Y, X, X, X, W, W, W, W, V, V, V, V, V, ..., A ?
Answer: C
The 207th element from the right is J.
Each letter appears as many times as its position from A: Z once, Y twice, and so on, down to A 26 times. Counting from the right means starting with the A block (26 letters), then B (25), C (24) and so on.
\[ \begin{aligned} A{:}\ 26,\ B{:}\ 51,\ C{:}\ 75,\ D{:}\ 98 \\ E{:}\ 120,\ F{:}\ 141,\ G{:}\ 161 \\ H{:}\ 180,\ I{:}\ 198,\ J{:}\ 215 \end{aligned} \]
The running totals show the I block ends at position 198 and the J block (17 letters) covers 199 to 215, so position 207 is a J. H and I are reached by stopping one or two blocks early.
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