Series Completion: W, V, T, S, Q, P, N, M, ?, ?
2023
Series Completion:
W, V, T, S, Q, P, N, M, ?, ?
- A.
I, J
- B.
J, I
- C.
J, K
- D.
K, J
Show answer & explanation
Correct answer: D
Concept: In an alternating-step letter series, each new term is obtained by moving backward through the alphabet using two different step sizes that repeat in a fixed cycle (here, one step back, then two steps back, repeating). To extend the series, identify which step size in the cycle comes next and apply it to the last known term.
Application: Tracing every step of the given series confirms the cycle and extends it to the missing terms:
W (23rd letter) to V (22nd letter): back 1 step.
V (22nd letter) to T (20th letter): back 2 steps.
T (20th letter) to S (19th letter): back 1 step.
S (19th letter) to Q (17th letter): back 2 steps.
Q (17th letter) to P (16th letter): back 1 step.
P (16th letter) to N (14th letter): back 2 steps.
N (14th letter) to M (13th letter): back 1 step.
Continuing the cycle, the next step after a 1-back step is a 2-back step: from M (13th letter), two steps back lands on K (11th letter).
The step after that returns to a 1-back step: from K (11th letter), one step back lands on J (10th letter).
Cross-check: Listing the seven step sizes established across the known part of the series shows a strict repeating pattern of one-back, two-back, one-back, two-back, and so on, with no break anywhere. Continuing that same pattern for the eighth and ninth steps needed to complete the series produces this exact pair, keeping all nine steps of the whole series consistent from start to end.