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 (5,12,19,26,\ldots), what is the value of (a_5+a_9)?If (a_6=28) and (a_{15}=82), what is (d)?Three consecutive terms of an arithmetic progression are (3x+1), (5x-2), (8x-8). What is (x)?If (a_1=5) and the sum of the first (6) terms is (120), what is the common difference?If the difference between any two consecutive terms of an arithmetic progression is always the same, what is this constant difference called?If (a_3=12) and (a_7=36), what is (a_{11})?In the arithmetic progression (8,14,20,\ldots), what is the last term before (80)?If (a_1=30) and (d=-5), what is the value of (a_3+a_7)?If (a_4=13) and (a_{13}=67), what is (a_1)?What is the sum of the first (10) terms of the arithmetic progression (3,9,15,21,\ldots)?If (a_n=31-4n), which is the first negative term?If in an arithmetic progression (a_3+a_7=60), what is (a_5)?If (a_1=11) and (d=5), what is the value of (a_4+a_{10})?In an arithmetic progression, a₆ = 41 and d = 8. What is a₁?In the arithmetic progression (12,19,26,\ldots), what is the value of (a_{11}+a_3)?If an arithmetic progression has (a_5=24) and (a_{10}=59), what is (a_{13})?If in an arithmetic progression (a_2+a_8=70) and the common difference is (d=5), what is the first term (a_1)?What is the thirteenth term of the arithmetic progression (16,23,30,37,\ldots)?When will four numbers \(p,q,r,s\), written in order, be consecutive terms of an arithmetic progression?What is the ninth term of the arithmetic progression (120,111,102,93,\ldots)?