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=40-5n), what is the value of (a_3+a_7)?In an arithmetic progression, (a_6=25) and (a_{11}=55). What is (a_1)?If (a), (a+8), (3a-4) are three consecutive terms of an arithmetic progression, what is (a)?What is the sum of the first 7 terms of the arithmetic progression 2, 8, 14, 20, ...?If the (n)th term of an arithmetic progression is (a_n=12-2n), which term is zero?In an arithmetic progression, (a_4=10) and (a_{10}=34). What is (a_7)?Which arithmetic progression has (a_1=16) and (a_5=0)?If (a_1=4) and (d=9), what is the value of (a_{15}-a_9)?In the arithmetic progression (9,16,23,\ldots), what is the first term greater than (100)?If in an arithmetic progression (a_3+a_9=72), what is (a_6)?In the arithmetic progression (3,10,17,24,\ldots), what is the value of (a_4+a_8)?If (a_5=17) and (a_{13}=65), what is (d)?Three consecutive terms of an arithmetic progression are 4x - 1, 5x + 2, and 7x - 3. What is x?If (a_1=2) and the sum of the first (6) terms is (72), what is the common difference?In the arithmetic progression (12,17,22,27,\ldots), what is (n) for (a_n=72)?If (a_2=8) and (a_5=20), what is (a_9)?In the arithmetic progression (6,10,14,\ldots), what is the last term before (50)?If (a_1=20) and (d=-4), what is the value of (a_2+a_6)?If (a_3=7) and (a_{12}=61), what is (a_1)?What is the sum of the first (9) terms of the arithmetic progression (1,6,11,16,\ldots)?