Mathematics
Arithmetic Progression
समांतर श्रेणी
Arithmetic Progression for Class 9 Mathematics introduces a sequence in which consecutive terms change by a constant common difference. Students learn to recognise the pattern, identify the first term and common difference, generate further terms, and use the nth-term rule to find a required term. As part of Sequences and Progressions, the topic builds clear reasoning through number patterns, tables, and simple problems, helping learners connect a general rule with specific values and explain their steps accurately.
Practice questions
How many terms are there up to (41) in the arithmetic progression (5,9,13,\ldots)?If the first (4) terms of an arithmetic progression are (3,8,13,18), what is (S_4)?Which term of the arithmetic progression (12,18,24,\ldots) is (96)?If (a_1=20) and (d=-2), what is (a_{12})?What is the sum of the first 15 terms of the arithmetic progression (2, 7, 12, 17, …)?If (a_4=26) and (d=6), what is the value of (a_{10})?In the arithmetic progression (100,92,84,\ldots), which term is (20)?If (a=4) and (S_6=114), what is (d)?What is the value of (a_9+a_{11}) for the arithmetic progression (14,19,24,\ldots)?If (a_n=50-3n), which term will be equal to (5)?What is the sum of the first (9) terms of the arithmetic progression (7,14,21,\ldots)?If an arithmetic progression has (a_5=30) and (a_{12}=72), what is (d)?Which of the following sequences is an arithmetic progression based on its general term?In an arithmetic progression, if the term positions p, q and r satisfy \(p+r=2q\), which relation among \(T_p, T_q\) and \(T_r\) is always true?In an arithmetic progression, a₃ = 11 and a₉ = 47. What is a₁?If (a_n=6n+1), what is the value of (a_4+a_8)?In the arithmetic progression (22,27,32,\ldots), if (a_n=87), what is (n)?If \(p, q, r, s\) are four consecutive terms of an arithmetic progression, which of the following relations is always true?What is the sum of the first (25) terms of the arithmetic progression (8,12,16,\ldots)?If (a_6=41) and (a=11), what is (d)?