Pattern of escalating exponents on D, E, F: complete DEF, DEF2, DE2F2, ____, D2E2F3 by identifying the leftward sweep of exponent increments to fill in the missing fourth term.

Verbal Reasoning Letter and Symbol Series Difficulty: Medium
Choose an option
  • A
    D2E2F2
  • B
    D2EF2
  • C
    DE2F3
  • D
    D3E2F2
  • E
    D2E3F2

Answer

Correct Answer: D2E2F2

Explanation

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
Discussion & Comments
No comments yet. Be the first to comment!
Join Discussion