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
What is the common difference of (-12,-7,-2,3,\ldots)?If two consecutive terms of an arithmetic progression are (26) and (31), what is the common difference?Is the sequence (3,7,12,18,\ldots) an arithmetic progression or not?In the arithmetic progression (12,19,26,33,\ldots), how much greater is each term than the previous term?If (a=3) and (d=8), what are the first three terms?Which sequence starts with a = 4 and d = 6?What will be the next two terms in (90,80,70,60,\ldots)?Which term is not among the four given terms of (21, 24, 27, 30, …)?If a sequence is (12,12,12,12,\ldots), what type of arithmetic progression is it?Rows of stairs use (8,11,14,17,\ldots) bricks. What is the common difference of this arrangement?In the sequence (35,30,25,20,\ldots), how much less is each term than the previous term?What is the common difference of \(\frac{1}{5},\frac{3}{5},1,\frac{7}{5},\ldots\)?If (a_1=25) and (a_2=18), what will (d) be?The sequence (11,22,33,44,\ldots) has common difference (11). What type of sequence is it?In the sequence (18,23,28,33,\ldots), which term is (23)?What is the common difference of the arithmetic progression (54,48,42,36,\ldots)?If (a=10) and the next term is (14), what will (d) be?By subtracting the second and third terms in (2,9,16,23,\ldots), what (d) will be obtained?What is the common difference of the sequence (36,42,48,54,\ldots)?Which sequence is an arithmetic progression with common difference −7?