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Mathematics · 2025 · 1 mark
CBSE 2025 · Region 2 · Set 1 · Q19
Assertion (A): Common difference of the AP: 5,1,-3,-7, … is 4. Reason (R): Common difference of the AP: a_1, a_2, a_3, …, a_n is obtained by d = a_n…
Assertion $\displaystyle (A)$ : Common difference of the $\displaystyle \mathrm{AP}: 5,1,-3,-7, \ldots$ is $\displaystyle 4$ .
Reason (R): Common difference of the AP: $\displaystyle \mathrm{a}_{1}, \mathrm{a}_{2}, \mathrm{a}_{3}, \ldots, \mathrm{a}_{\mathrm{n}}$ is obtained by $\displaystyle \mathrm{d}=\mathrm{a}_{\mathrm{n}}-\mathrm{a}_{\mathrm{n}-1}$.
Official answer
(D)
Assertion (A) is false, but Reason (R) is true.
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CBSE Class 10 Mathematics past-paper question from the 2025 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.