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
The sequence (2,4,6,8,\ldots) has common difference (2). What type of sequence is it?In an arithmetic progression, when (d>0), how do the terms generally change?In an arithmetic progression, when (d<0), how do the terms generally change?In the sequence (7,10,13,16,\ldots), which term is (10)?What is the common difference of the arithmetic progression (31,28,25,22,\ldots)?If (a=4) and the next term is (9), what is (d)?Which sequence is an arithmetic progression with (d=0)?What is a list called when the difference between consecutive terms is constant?Which of the following sequences is an arithmetic progression (AP)?What is the common difference of the sequence (12,10,8,6,\ldots)?Is (3,6,9,12,\ldots) an arithmetic progression?Which statement is correct about the sequence (2,5,10,17,\ldots)?If the first term of an arithmetic progression is (7) and the common difference is (2), what is the second term?In the sequence (20,15,10,5,\ldots), what are the first term and common difference respectively?If (a=4) and (d=6), what are the first three terms of the arithmetic progression?What will be the next term in the sequence (1,4,7,10,\ldots)?What is the common difference of the sequence (-3,0,3,6,\ldots)?If the common difference is (0), what type of arithmetic progression is formed?What is the common difference in the sequence (8,8,8,8,\ldots)?In an arithmetic progression, what does (d) represent?