View each string as D^a E^b F^c, where omitted exponents equal 1. Exponents increase by +1 one letter at a time, cycling right-to-left.
- Term 1: D1E1F1 (shown as DEF).
- Term 2: D1E1F2 (increment F).
- Term 3: D1E2F2 (increment E).
- Term 4: D2E2F2 (increment D) ⇒ missing term.
- Term 5: D2E2F3 (increment F again) — given.
Concept/ApproachRecognize the incremental sweep of exponents: F ↑, then E ↑, then D ↑, then F ↑ again, …Step-by-Step calculation1) After DE2F2, increment D's exponent: 1 → 2.2) Keep E and F at 2: compose D2E2F2.Verification/AlternativeThe provided last term D2E2F3 confirms the cycle restarting at F.Common pitfallsJumping multiple exponents in one term or changing letter order.Final AnswerD2E2F2
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