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
What is the sum of the first (15) terms of the arithmetic progression (14,22,30,\ldots)?In an arithmetic progression where a_5 = 33 and a_11 = 75, what is a_1?How many terms are there up to (72) in the arithmetic progression (7,12,17,\ldots)?If the first (4) terms of an arithmetic progression are (9,17,25,33), what is (S_4)?Which term of the arithmetic progression (18,25,32,\ldots) is (123)?If every set of three consecutive terms of a sequence is \(p, q, r\), which relation is necessary and sufficient for it to be an arithmetic progression?What is the sum of the first (14) terms of the arithmetic progression (6,13,20,27,\ldots)?If (a_6=47) and (d=9), what is the value of (a_{12})?In the arithmetic progression (84,75,66,\ldots), which term is (12)?If (a=6) and (S_8=216), what is (d)?What is the value of (a_9+a_{13}) for the arithmetic progression (21,28,35,\ldots)?If (a_n=74-5n), which term will be equal to (19)?What is the sum of the first (12) terms of the arithmetic progression (8,16,24,\ldots)?If an arithmetic progression has (a_6=38) and (a_{14}=94), what is (d)?In an arithmetic progression, the 7th term is 25 and the 13th term is 49. What is the common difference of the progression?If three numbers \(p, q, r\), in that order, are consecutive terms of an arithmetic progression, which condition is necessary and sufficient?In an arithmetic progression, a_4 = 20 and a_11 = 69. What is a_1?In the arithmetic progression (27,35,43,\ldots), if (a_n=123), what is (n)?Which of the following sequences is an arithmetic progression for every real value of \(x\)?What is the sum of the first (25) terms of the arithmetic progression (12,18,24,\ldots)?