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
In the arithmetic progression (13,10,7,4,\ldots), which term is (-8)?If (a=6) and (d=8), what is the value of (a_5+a_6)?How many terms of the arithmetic progression (6,11,16,\ldots) have sum (451)?In an arithmetic progression, (a_5=18) and (a_{12}=46). What is the common difference (d)?If an arithmetic progression has (a_3=11) and (d=5), what is the first term (a_1)?If (2x-3), (x+4), (3x+1) are three consecutive terms of an arithmetic progression, what is (x)?In an arithmetic progression, (a_2=9) and (a_9=44). What is the value of (a_5)?Which arithmetic progression has a₄ = 20 and common difference d = 6?If \(x, y, z\) are three consecutive terms of an arithmetic progression, which of the following relations is always true?What is the first negative term in the arithmetic progression (18,13,8,3,\ldots)?In the arithmetic progression (4,11,18,25,\ldots), what is the value of (a_{12}-a_4)?If (a_n=3n+8), what is the sum of the first (6) terms of this arithmetic progression?In an arithmetic progression, (a_3=16) and (a_8=41). What is the first term (a_1)?If in an arithmetic progression (a_4+a_8=50), what is the value of (a_6)?If three consecutive terms of an arithmetic progression are (x-4), (x+2), (2x-2), what is the common difference?If a_1 = 12 and d = -3, how many positive terms are there among the first 8 terms?If (a_2+a_{10}=64), what is the value of (a_6)?Which arithmetic progression has a_3 = 12 and a_7 = 32?If in an arithmetic progression (a_1=3) and (a_4+a_6=56), what is the common difference?In the arithmetic progression (7,10,13,\ldots), what is the greatest term less than (100)?