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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 the sequence (50,45,40,35,\ldots), what are the next term and (d) respectively?If (a=12) and (d=-4), which is the correct order of the first three terms?In the sequence (0,-3,-6,-9,\ldots), what are (a) and (d) respectively?A machine produces (15) more items each hour. The production is (20,35,50,65,\ldots). What is the difference between the third and first terms?If (2) is added to each term of (4,9,14,19,\ldots), what will be (d) of the new sequence?If the first two terms of an arithmetic progression are (-7) and (-2), what will be the third term?What is the common difference in the sequence (2a,2a-5,2a-10,\ldots)?If (9,b,21) are consecutive terms of an arithmetic progression, what is the value of (b)?Which sequence has (d=\frac{2}{3})?Which of the following sequences can be classified as an arithmetic progression (AP)?What is (d) in the sequence (6,6.8,7.6,8.4,\ldots)?If (d) is to be found in (15,10,5,0,\ldots), which calculation is correct?In an arithmetic progression, (d=4) and the second term is (11). What is the first term?If (6,u,18,24,\ldots) is an arithmetic progression, what will be the value of (u)?What is the common difference of the sequence (8,13,18,23,\ldots)?What will be the common difference in (42,36,30,24,\ldots)?What is the missing value in (6,10,14,\Box,22,\ldots)?If the first term of an arithmetic progression is (a=12) and the common difference is (d=5), what are the first four terms?In the sequence (-5,-1,3,7,\ldots), what are (a) and (d) respectively?What will be the next term in the arithmetic progression (31,27,23,19,\ldots)?