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
What is the average of the first (3) terms of the arithmetic progression (10,18,26,34,\ldots)?The first row of an auditorium has 18 seats, and each successive row has 3 more seats. How many seats are there in the 12th row?What is the (14)th term of the arithmetic progression (5,14,23,32,\ldots)?Which arithmetic progression has common difference (8)?What is the sum of the first (5) terms of the arithmetic progression (44,38,32,26,\ldots)?If an arithmetic progression has (a_7=58) and (d=8), what is (a_4)?In the arithmetic progression (35,28,21,14,\ldots), which term is (0)?In a staircase, the height of each successive step is 2 cm more than that of the previous step. If the first step is 10 cm high, what is the height of the 12th step?In the arithmetic progression (4,12,20,28,\ldots), what is the value of (a_{12}-a_6)?Which option has the first four terms formed by (a_n=16-2n)?If an arithmetic progression has (a_3=14) and (a_9=50), what is (a_6)?In the arithmetic progression (9,16,23,\ldots), what are the next two terms?If (a=5) and (d=13), what will (a_7-a_2) be?What is the general term of the arithmetic progression (31,35,39,43,\ldots)?If an arithmetic progression has (a_4=19) and (a_7=31), what is (a_1)?Which arithmetic progression has (a_5=30) and common difference (6)?Which of the following statements is always true for an arithmetic progression (AP)?What is the eighth term of the arithmetic progression (42,36,30,24,\ldots)?If (a_n=4n+3), which term will be (91)?In an arithmetic progression whose first term is (14) and fifteenth term is (84), what is the common difference?