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Subjects

Mathematics

Introduction to APs and common difference.

समांतर श्रेणियों (AP) और सार्व अंतर का परिचय

In this Class 10 Mathematics topic from Arithmetic Progressions (AP), students learn what an arithmetic progression is and how to recognize its pattern. They explore the first term, the common difference, and the role of a constant change between consecutive terms. The topic also develops skills for writing the general form of an AP, finding missing terms, and deciding whether a given sequence follows an arithmetic pattern through examples and simple reasoning.

Practice questions

In an arithmetic progression, what does (a) usually represent?What is the value of (d) in the sequence (4,7,10,13,\ldots)?What is the value of (a) in the sequence (11,14,17,20,\ldots)?If an arithmetic progression has (a=10) and (d=-1), what are the first four terms?Which of the following sequences has common difference (7)?What is the common difference in the sequence (100,90,80,70,\ldots)?Which statement is true for an arithmetic progression?In the sequence (15,18,21,24,\ldots), what are (a) and (d) respectively?What is the next term in the sequence (0,5,10,15,\ldots)?Why is (1,3,6,10,\ldots) not an arithmetic progression?If (a=2) and the next term is (5), what is (d)?Which of the following is a decreasing arithmetic progression?What is the common difference in the sequence (2.5,3.0,3.5,4.0,\ldots)?A student says that the sequence \(7, 11, 15, 20, \ldots\) is an arithmetic progression because its terms are increasing. What is the error in the student's statement?In an arithmetic progression (a,a+d,a+2d,\ldots), which is the second term?In an arithmetic progression (a,a+d,a+2d,\ldots), which is the third term?What is the next term in the arithmetic progression (4,4.5,5,5.5,\ldots)?Which statement is correct about the sequence (3,3,3,3,\ldots)?What is the value of (d) in the sequence (14,11,8,5,\ldots)?On a ladder, each next rung is (6) cm higher than the previous one. The heights are (10,16,22,28,\ldots). What do they form?