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Topic guide: Number series and rule verification

Find a defensible pattern in a numerical series by testing differences, ratios and alternating positions, while recognising that a short finite sequence may permit more than one constructed rule.

01 / 03Learn with a clear direction

2 min read Original learning material · Prepared 14 Oct 2026

This is an independent topic guide, not the official syllabus. Compare it with the current paper outline and rules published by the examination authority.

01 / UNDERSTANDING

Learning objectives

Cover differences, ratios, alternating positions and whole-series verification. The objective is to identify a simple intended pattern while acknowledging the limits of finite-data continuation.

02 / UNDERSTANDING

The concept in context

Number-series questions ask for an intended simple relationship among terms. Begin with first differences, then consider second differences, ratios or alternating subsequences when appropriate. A candidate rule must explain every supplied transition. Matching only the last pair can produce an appealing answer that contradicts the beginning of the sequence.

03 / UNDERSTANDING

A worked learning case

Original educational case. For the original series 4, 7, 12, 19, the differences are 3, 5 and 7. Continuing consecutive odd differences suggests adding 9, giving 28. The explanation checks the entire visible pattern. A rule invented only to move from 12 to 19 would not establish why the earlier terms belong to the same series.

ORIGINAL EDUCATIONAL PRACTICE

Try it before you check.

Original practice: Using consecutive odd increments, complete 2, 5, 10, 17, __.

Show the answer and reasoning

26.

The increments are 3, 5 and 7, so the stated consecutive-odd pattern continues with 9. Adding 9 to 17 gives 26. The condition in the prompt identifies the intended rule; without such a restriction, a finite series can have other constructed continuations, so the explanation should state the pattern being used.

Two traps to watch for.

  • Selecting a rule that fails an earlier transition.
  • Treating a finite sequence’s intended pattern as logically unique.

YOUR TOPIC-SPECIFIC LEARNING MAP

Your revision map

  1. Write all consecutive differences.

  2. Test alternate positions if differences fail.

  3. Verify the proposed rule from the first term.

Explain the idea, apply it to a new situation, then check what changed in your reasoning.

BANKERS TUTORIAL · SOURCE NOTES

Keep the source alongside your notes.

Official links provide subject context and authoritative reference material. This guide’s explanation, scenario and question are original Bankers Tutorial learning content.

  1. sbi.bank.in https://sbi.bank.in/web/careers/current-openings
  2. sbi.bank.in https://sbi.bank.in/webfiles/uploads/files_2627/09/SBI_JA-Customer_Support_Sales-IH_Pre-2026-27_Eng.pdf

For SBI preparation, check the current official notice before relying on changing dates, rules or examination requirements.

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