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Mathematics — Standard (041) — CBSE Class 10 board question

Q1. [1] § 5.5 Summary
The common difference of the AP : $\sqrt{2}, 2\sqrt{2}, 3\sqrt{2}, 4\sqrt{2}, .....$ is :
  1. (a) $\sqrt{2}$
  2. (b) 1
  3. (c) $2\sqrt{2}$
  4. (d) $-\sqrt{2}$
Previously asked in CBSE board exam
2026 30/1/1 Q6
Generated by claude-sonnet-4-6 · 2026-06-15 10:32 · grounding rag
Model Answer

(a) $\sqrt{2}$

Common difference $d = 2\sqrt{2} - \sqrt{2} = \sqrt{2}$.

Explanation

The common difference is found by subtracting any term from the next term. Here, each term increases by $\sqrt{2}$, so $d = \sqrt{2}$. Option (a) is correct.

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