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
If an arithmetic progression has (a_4=23) and (a_{13}=77), what is (d)?If 12 and 20 are consecutive terms of an arithmetic progression with one arithmetic mean between them, which of the following is the arithmetic mean between them?In an arithmetic progression, if the terms \(t_{n-r}\), \(t_n\), and \(t_{n+r}\) exist, which relation is always true?In an arithmetic progression, a₃ = 13 and a₁₀ = 62. What is a₁?If (a_n=5n+6), what is the value of (a_5+a_9)?In the arithmetic progression (24,30,36,\ldots), if (a_n=102), what is (n)?Which of the following conditions, for every interior term of a sequence, is sufficient to identify it as an arithmetic progression (AP)?What is the sum of the first (24) terms of the arithmetic progression (10,15,20,\ldots)?If (a_7=49) and (a=13), what is (d)?In the arithmetic progression (18,14,10,6,\ldots), which term is (-10)?If (a=9) and (d=7), what is the value of (a_6+a_7)?How many terms of the arithmetic progression (4,10,16,\ldots) have sum (490)?In an arithmetic progression, (a_6=21) and (a_{14}=61). What is the common difference (d)?If an arithmetic progression has a₄ = 17 and d = 4, what is the first term a₁?The (n)th term of an arithmetic progression is (a_n=8n-5). Which term will be (83)?If (x-3), (2x+1), (4x-1) are three consecutive terms of an arithmetic progression, what is (x)?Which of the following statements is always true for an arithmetic progression?Which arithmetic progression has (a_5=29) and (d=6)?If (a_1=7) and (a_{12}=73), what is the common difference?What is the first negative term in the arithmetic progression (25,19,13,7,\ldots)?