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_8=66) and (a=17), what is (d)?In the arithmetic progression (24,19,14,9,\ldots), which term is (-11)?If (a=12) and (d=9), what is the value of (a_5+a_8)?How many terms of the arithmetic progression (7,13,19,\ldots) have sum (539)?In an arithmetic progression, (a_4=19) and (a_{13}=73). What is the common difference (d)?If an arithmetic progression has a_5 = 28 and d = 7, what is the first term a_1?The (n)th term of an arithmetic progression is (a_n=9n-4). Which term will be (113)?If (2x+1), (3x+6), (5x+5) are three consecutive terms of an arithmetic progression, what is (x)?In an arithmetic progression, (a_3=16) and (a_{11}=72). What is the value of (a_7)?Which arithmetic progression has (a_6=38) and (d=5)?If (a_1=9) and (a_{15}=93), what is the common difference?What is the first negative term in the arithmetic progression (31,25,19,13,\ldots)?In the arithmetic progression (10,18,26,34,\ldots), what is the value of (a_{14}-a_5)?If (a_n=5n+9), what is the sum of the first (6) terms of this arithmetic progression?In an arithmetic progression, (a_5=26) and (a_{12}=68). What is the first term (a_1)?If in an arithmetic progression (a_6+a_{14}=120), what is the value of (a_{10})?If three consecutive terms of an arithmetic progression are (3x-2), (4x+3), (6x+1), what is the common difference?If (a_1=22) and (d=-5), how many positive terms are there among the first (8) terms?If (a_4+a_{16}=140), what is the value of (a_{10})?Which arithmetic progression has (a_3=17) and (a_9=65)?