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 in an arithmetic progression (a_1=4) and (a_5+a_9=80), what is the common difference?In the arithmetic progression (14,19,24,\ldots), what is the greatest term less than (120)?If (a_n=63-5n), what is the value of (a_4+a_9)?In an arithmetic progression, (a_8=45) and (a_{13}=80). What is (a_1)?If (p+2), (2p+5), (4p+1) are three consecutive terms of an arithmetic progression, what is (p)?What is the sum of the first (9) terms of the arithmetic progression (5,13,21,29,\ldots)?If the (n)th term of an arithmetic progression is (a_n=24-4n), which term is zero?In an arithmetic progression, (a_6=31) and (a_{14}=79). What is (a_{10})?Which arithmetic progression has (a_1=36) and (a_9=4)?If (a_1=6) and (d=9), what is the value of (a_{16}-a_7)?In the arithmetic progression (17,23,29,\ldots), what is the first term greater than (100)?If in an arithmetic progression (a_5+a_{15}=150), what is (a_{10})?In the arithmetic progression (7,16,25,34,\ldots), what is the value of (a_6+a_{10})?If (a_7=33) and (a_{16}=96), what is (d)?Three consecutive terms of an arithmetic progression are (4x-3), (6x+1), (9x-2). What is (x)?If (a_1=8) and the sum of the first (7) terms is (161), what is the common difference?If (a_4=20) and (a_8=44), what is (a_{12})?In the arithmetic progression (9,15,21,\ldots), what is the last term before (90)?If (a_1=45) and (d=-6), what is the value of (a_4+a_8)?If (a_5=18) and (a_{14}=81), what is (a_1)?