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 (p,,p+7,,p+14,\ldots) is an arithmetic progression, what is the common difference?What is the common difference in the arithmetic progression (11,11,11,11,\ldots)?If (a=15) and (d=0), what are the first three terms?What is the missing term in the arithmetic progression (4,\Box,18,25,\ldots)?If (a_n=9n-2), what is the common difference of this arithmetic progression?What is (a_6) of the arithmetic progression (18,23,28,33,\ldots)?If an arithmetic progression has (a_1=13) and (d=9), what is (a_4)?What is a sequence called in which the difference between each term and the term immediately preceding it remains constant?What is the tenth term of the arithmetic progression (11,22,33,44,\ldots)?If (a_n=18-4n), what is the value of (a_3)?What is the general term of the arithmetic progression (14,10,6,2,\ldots)?If (12,,x,,30) is an arithmetic progression, what is the value of (x)?What will be the seventh term in the arithmetic progression (30,38,46,54,\ldots)?Which arithmetic progression has first term (12) and common difference (6)?If (a=10) and (d=7), what will be the sixth term of the arithmetic progression?What is the common difference in the sequence (6, 13, 20, 27, …)?Riya says that the sequence 3, 7, 11, 16 is an arithmetic progression because its terms are increasing. What is the error in Riya's reasoning?What is the (n)th term of the arithmetic progression (42,36,30,24,\ldots)?A student says that the sequence 2, 5, 9, 14 is an arithmetic progression because its terms are continuously increasing. What is the student's error?In the arithmetic progression (3,11,19,27,\ldots), which term is (67)?