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
A student says that the sequence 5, 9, 14, 18 is an arithmetic progression because every next term is greater. What is the student's error?What is the (n)th term of the arithmetic progression (8,14,20,26,\ldots)?If the first term of an arithmetic progression is (12) and the fourth term is (27), what is the common difference?Which arithmetic progression has first term (4) and common difference (7)?What is the sum of the first (6) terms of the arithmetic progression (4,9,14,19,\ldots)?What will be the (12)th term of the arithmetic progression (1,6,11,16,\ldots)?If an arithmetic progression has (a_2=13) and (d=4), what is (a_1)?Which sequence is not an arithmetic progression?In the arithmetic progression (40,35,30,25,\ldots), which term is (5)?If the first term of an arithmetic progression is (3) and the seventh term is (33), what is the common difference?If (a_n=4n-1), what is the (8)th term of this arithmetic progression?What is the sum of the first (4) terms of the arithmetic progression (7,10,13,16,\ldots)?Which arithmetic progression has common difference (-6)?If an arithmetic progression has (a_4=18) and (d=3), what will be (a_9)?If (a_n=9n+2), what is the first term of the arithmetic progression?Which option has the first four terms of the arithmetic progression with (a=5) and (d=2)?If the third term of an arithmetic progression is (14) and the fifth term is (22), what is the common difference?What is the (n)th term of the arithmetic progression (22,18,14,10,\ldots)?What is the average of the first (3) terms of the arithmetic progression (2,8,14,20,\ldots)?The first row of an auditorium has 20 seats, and each successive row has 3 more seats than the preceding row. What is the total number of seats in the first 10 rows?