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
- A.
2474
- B.
2512
- C.
2314
- 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.
1763 + 229 = 1992
1992 + 229 = 2221
2221 + 229 = 2450
2450 + 229 = 2679
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.