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 (a_n=6n+5), which term will be (107)?In an arithmetic progression, the first term is (21) and the eighteenth term is (106), what is the common difference?What is the sum of the first 13 terms of the arithmetic progression (6, 11, 16, 21, ...)?If (14,x,42) are in arithmetic progression, what is the value of (x)?What is the sum of the first 8 terms of the arithmetic progression (10, 17, 24, 31, ...)?Three numbers \(p, q, r\) are given in this order. Which condition is necessary and sufficient for them to be in an arithmetic progression (AP)?What is the general term of the arithmetic progression (44,38,32,26,\ldots)?For an arithmetic progression with (a=15) and (a_8=71), what is (d)?In the arithmetic progression (5,14,23,32,\ldots), which term is (95)?If (a=19) and (d=-5), what is the value of (a_9)?Three distinct numbers \(p, q, r\), in this order, are consecutive terms of an arithmetic progression. Which condition ensures this?What is the sum of the first (20) terms of the arithmetic progression (3,7,11,15,\ldots)?In an arithmetic progression, (a_4=25) and (a_{10}=67), what is (d)?If (a_7=52) and (d=7), what is the value of (a_1)?What is (a_{16}-a_6) for the arithmetic progression (10,18,26,34,\ldots)?If (a_n=10n-3), what is the sum of the first (8) terms?Which term of the arithmetic progression (23,31,39,\ldots) is (111)?If (a_2=16) and (a_9=65), what is the first term?In the arithmetic progression (64,56,48,40,\ldots), which term is zero?If (a=11) and (a_{12}=88), what is (d)?