Look carefully for the pattern, and then choose which pair of numbers comes…

2025

Look carefully for the pattern, and then choose which pair of numbers comes next.

6 10 14 18 22 26 30

  1. A.

    36 40

  2. B.

    33 37

  3. C.

    38 42

  4. D.

    34 38

Show answer & explanation

Correct answer: D

Concept: A number series in which each term increases (or decreases) by a fixed, constant amount from the one before it follows a simple additive pattern. Once that constant difference is identified from the consecutive terms already given, it can be used to extend the series.

Application:

  1. Find the difference between each pair of consecutive given terms: 10 - 6, 14 - 10, 18 - 14, 22 - 18, 26 - 22, and 30 - 26.

  2. Every one of these differences works out to the same constant value, so the series has one fixed common difference throughout.

  3. Extend the series by adding that same constant difference to the last given term (30) to get the next term, and again to get the term after that.

Cross-check: Starting again from the first term (6) and repeatedly adding the same constant difference reproduces every given number in the series exactly (6, 10, 14, 18, 22, 26, 30) before reaching the next pair, confirming the pattern holds throughout.

So the next pair of numbers in the series is 34 and 38.

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