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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 (14,20,26,32,\ldots), which term is (20)?In the arithmetic progression (17,13,9,5,\ldots), what is the product of the first term and the common difference?If the consecutive differences of a sequence are (2,4,6), what is the correct conclusion?In (5, 12, 19, 26, ...), what are the difference of the first two terms and the difference of the third and fourth terms?In an arithmetic progression, (a=3) and (d=0). What are the first three terms?If (a=15) and (d=-4), what are the first four terms?What is the common difference of (2k,2k+3,2k+6,2k+9,\ldots)?If an arithmetic progression has (d=-1.5) and first term (10), what is the second term?What is (d) in the arithmetic progression (\frac{1}{3},\frac{2}{3},1,\frac{4}{3},\ldots)?Rooms on the floors of a building increase as (18,22,26,30,\ldots). What is the common difference?What will be the fifth term in (64,57,50,43,\ldots)?If (a=4) and (a+d=13), what is the value of (d)?Which sequence is an arithmetic progression with (d=0.25)?What is the common difference in (7,7.5,8,8.5,\ldots)?If a sequence is (1,4,7,10,\ldots), what is the difference between the third and second terms?What is the common difference of the arithmetic progression (a-2,a+1,a+4,a+7,\ldots)?In which sequence are the consecutive differences not equal?If the second term of an arithmetic progression is (18) and the first term is (11), what will (d) be?In the sequence (25, 21, 17, 13, ...), which term is 21?If (a=2.5) and (d=1.5), what are the first three terms?