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.

Q1 2026

The number of multiples of 4 lying between 12 and 250 is…
Q2 2026

The n$^{th}$ term of the A.P. $\frac{-1}{3}, \frac{2}{3}, \frac{5}{3}, \frac{8}{3}, \ldots$ is…
Q3 2026

If $a_n$ represents $n^{th}$ term of the A.P. $-\frac{15}{4}, -\frac{10}{4}, -\frac{5}{4}, \ldots$ then value…
Q4 2026

In an A.P., 15$^{th}$ term exceeds the 8$^{th}$ term by 21. If sum of first 10 terms is 55, then form the A.P.
Q5 2026

The $n^{th}$ term of an A.P. is $\sqrt{2}\,n + 1$. Its common difference is
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…
Q7 2026 (Basic)

$n^{th}$ term of the A.P. $-\frac{3}{2}, \frac{3}{2}, \frac{9}{2}, \ldots$ is…
Q8 2026 (Basic)

The third and ninth term of an A.P. are 4 and −8 respectively.
Q9 Sample paper 2026-27

The middle term of the A.P.: 10, 7, 4, …, – 62 is…
Q10 Sample paper 2026-27

Ridhi drew a polygon with n sides. The smallest exterior angle is 8° and each subsequent exterior angle is 4°…
Q11 2025

The 10th term of the AP…
Q12 2025

Questions number 19 and 20 are Assertion and Reason based questions. Two statements are given, one labelled…
Q13 2025

A sum of ₹ 2,000 is invested at 7% per annum simple interest. Calculate the interests at the end of 1$^{st}$…
Q14 2025

The sum of the third term and the seventh term of an AP is 6 and their product is 8. Find the sum of the…
Q15 2025

If the sum of first m terms of an AP is 2m^2 + 3m, then its second term is…
Q16 2025 (Basic)

In a garden, saplings of rose flowers were planted at equal intervals to form a spiral pattern. The spiral is… (with a figure)
Q17 2024

The common difference of the A.P. $\frac{1}{2x}, \frac{1-4x}{2x}, \frac{1-8x}{2x}, \ldots$ is…
Q18 2024

If the sum of first 7 terms of an A.P. is 49 and that of first 17 terms is 289, find the sum of its first 20…
Q19 2024

The common difference of an A.P. in which $a_{15} - a_{11} = 48$, is
Q20 2024

Which term of the A.P. –29, –26, –23, ....., 61 is 16 ?
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…
Q22 2024

The sum of first and eighth terms of an A.P. is 32 and their product is 60. Find the first term and common…
Q23 2024 (Basic)

In an A.P., if $a = 8$ and $a_{10} = -19$, then value of $d$ is…
Q24 2024 (Basic)

How many terms of the A.P. 27, 24, 21, ....... must be taken so that their sum is 105 ? Which term of the…
Q25 2023

How many terms of the arithmetic progression 45, 39, 33, ........ must be taken so that their sum is 180 ?…
Q26 2023

The next term of the A.P. : $\sqrt{6}$, $\sqrt{24}$, $\sqrt{54}$ is…
Q27 2023

DIRECTIONS : In the question number 19 and 20, a statement of Assertion (A) is followed by a statement of…
Q28 2023

How many terms are there in an A.P. whose first and fifth terms are $-14$ and 2, respectively and the last…
Q29 2023

If p – 1, p + 1 and 2p + 3 are in A.P., then the value of p is
Q30 2023 (Basic)

The seventh term of an A.P. whose first term is 28 and common difference $-4$, is
Q31 2022

Find the sum of first 30 terms of AP : $-30, -24, -18, \ldots$ .
Q32 2022

In Mathematics, relations can be expressed in various ways. The matchstick patterns are based on linear… (with a figure)
Q33 2022 (Basic)

In an AP, if a = 50, d = – 4 and $S_n$ = 0, then find the value of n.
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)