Direction: In this question, select the missing numbers from the given…

2024

Direction: In this question, select the missing numbers from the given responses.

1763, 1992, 2221, ?, 2679, 2908

  1. A.

    2474

  2. B.

    2512

  3. C.

    2314

  4. D.

    2450

Show answer & explanation

Correct answer: D

Concept: In an arithmetic progression (AP), consecutive terms differ by the same constant amount, called the common difference — so a missing term equals the term immediately before it plus that common difference.

Application: Compare the known consecutive terms of this series to establish the common difference, then apply it step by step.

  1. 1763 + 229 = 1992

  2. 1992 + 229 = 2221

  3. 2221 + 229 = 2450

  4. 2450 + 229 = 2679

  5. 2679 + 229 = 2908

Cross-check: Moving backward from the last term gives the same value — 2908 minus the common difference equals 2679, and 2679 minus the common difference equals 2450 — matching the term reached by adding forward from 2221.

Since every consecutive pair in the series shares this same difference, the missing term is 2450.

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