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 an arithmetic progression (AP), if \(a_p=a_q\) for two terms at distinct positions and \(p\ne q\), which conclusion must be true?What is (a_{18}-a_7) for the arithmetic progression (8,15,22,29,\ldots)?If (a_n=8n+4), what is the sum of the first (7) terms?Which term of the arithmetic progression (19,26,33,\ldots) is (89)?If (a_2=14) and (a_8=50), what is the first term?In the arithmetic progression (45,40,35,30,\ldots), which term is zero?If (a=7) and (a_{11}=67), what is (d)?What is the sum of the first (14) terms of the arithmetic progression (11,18,25,\ldots)?In an arithmetic progression where a₄ = 22 and a₉ = 57, what is a₁?If the fourth term of the arithmetic progression (x, x + 8, x + 16, …) is 41, what is x?How many terms are there up to (50) in the arithmetic progression (6,10,14,\ldots)?If the first (4) terms of an arithmetic progression are (6,13,20,27), what is (S_4)?Which term of the arithmetic progression (15,21,27,\ldots) is (105)?Which of the following nth-term expressions represents an arithmetic progression?If (a_5=31) and (d=7), what is the value of (a_{11})?In the arithmetic progression (90,81,72,\ldots), which term is (9)?If (a=5) and (S_7=161), what is (d)?What is the value of (a_8+a_{12}) for the arithmetic progression (16,22,28,\ldots)?If (a_n=62-4n), which term will be equal to (10)?What is the sum of the first (11) terms of the arithmetic progression (6,12,18,\ldots)?