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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

If two consecutive terms of an arithmetic progression are (18) and (25), what is the common difference?What is the common difference of \(\frac{3}{2},2,\frac{5}{2},3,\ldots\)?If (a=20) and (d=-3), what is the third term of the arithmetic progression?Which sequence is formed with (a=9) and (d=-2)?What is the common difference of (1.2,1.8,2.4,3.0,\ldots)?What will be the fifth term in (2,8,14,20,\ldots)?Which statement is correct about the arithmetic progression (4,4,4,4,\ldots)?If the differences in a sequence are (3,3,3), what type of sequence is it?What are the next two terms in (100,92,84,76,\ldots)?Which sequence has common difference (7)?If the arithmetic progression is (x,x+4,x+8,x+12,\ldots), what is the common difference?Why is (11,16,22,29,\ldots) not an arithmetic progression?A shopkeeper saves (15) rupees more than the previous day. If he saved (50) rupees on the first day, what will be the savings sequence?In the arithmetic progression (3,9,15,21,\ldots), what is the sum of (a) and (d)?If (a_1=35) and (a_2=29), what is the common difference (d)?What is the fourth term in 5/4, 7/4, 9/4, 11/4, …?Which sequence is an arithmetic progression with (d=-5)?If (d>0) and the first term is positive, how will the terms of an arithmetic progression generally change?In (0,5,10,15,\ldots), what are (d) and (a) respectively?A student says that the sequence 2, 5, 9, 12 is an arithmetic progression (AP) because its terms are increasing. Which statement correctly identifies the error in the student's reasoning?