A deductive sequential puzzle

The useful part

This puzzle challenges players to deduce the precise alignment of a linear sequence (displayed in the cartouche) mapped into a continuous circle. Because displaying the exact numerical terms directly on the wheel would leave no challenge, the sequence values are expressed algebraically. The primary objective is to prove which sector represents the sequence's starting term.

How it works

• To illustrate how this puzzle works, I will solve figure 1:
• Because the sequence in figure 1 is limited to the positive integers 1 through 12, the term -B indicates that B must be a negative value.
• B is greater than A + B, creating a local inversion in the clockwise progression.
• A+B happens to be the exact value of one of the sectors, which has to be the sequence's starting term.

Details worth keeping

Since sectors A and -B are adjacent sectors, their difference is 1.