Arithmetic Progressions

CBSE Class 10 · Mathematics · 34 past questions

These are the board's own papers. 151 more board questions reprinted in the books we use in class are for signed-in students: sign in.

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1. Q5 2026

   The $n^{th}$ term of an A.P. is $\sqrt{2}\,n + 1$. Its common difference is

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2. Q6 2026 (Basic)

   The sum of first $n$ terms of an A.P. is $50\sqrt{2}$. If the first and the last terms are $\sqrt{2}$ and…

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3. Q7 2026 (Basic)

   $n^{th}$ term of the A.P. $-\frac{3}{2}, \frac{3}{2}, \frac{9}{2}, \ldots$ is…

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4. Q21 2024

   In an A.P., if the first term $a = 7$, $n$th term $a_n = 84$ and the sum of first $n$ terms…

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5. Q23 2024 (Basic)

   In an A.P., if $a = 8$ and $a_{10} = -19$, then value of $d$ is…

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6. Q29 2023

   If p – 1, p + 1 and 2p + 3 are in A.P., then the value of p is

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7. Q30 2023 (Basic)

   The seventh term of an A.P. whose first term is 28 and common difference $-4$, is

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8. Q31 2022

   Find the sum of first 30 terms of AP : $-30, -24, -18, \ldots$ .

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9. Q34 2022 (Basic)

   Do you know old clothes which are thrown as waste not only fill the landfill site but also produce very… (with a figure)

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