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Question

A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.

-438, -435, -429, ? , -408, -393, -375, -354

This question was previously asked in
SSC CHSL 2025 Tier 1 Question Paper (21-Nov-2025) (Shift 1)
The correct answer is

-420

This is a number-series problem where the pattern lives in the differences between consecutive terms rather than in the terms themselves.

Write out the given terms: \(-438,\ -435,\ -429,\ ?,\ -408,\ -393,\ -375,\ -354\).

First difference: \(-435 - (-438) = +3\). Next: \(-429 - (-435) = +6\).

The step increases by 3 each time, so the sequence of increments is \(+3,\ +6,\ +9,\ +12,\ +15,\ +18,\ +21\) — an arithmetic progression of common differences.

The missing term comes after \(-429\) using the \(+9\) step: \(-429 + 9 = -420\).

Verify forward: \(-420 + 12 = -408\), then \(-408 + 15 = -393\), \(-393 + 18 = -375\), \(-375 + 21 = -354\) — every later term matches.

The concept used is a second-level (quadratic) series, where the differences themselves form an arithmetic sequence.

Hence the missing term is -420.

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