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 savings increase by 50 rupees every week and the amounts are (100,150,200,250,\ldots), what is the common difference?If ticket prices are (40,45,50,55,\ldots), what is the common difference of the prices?What is the difference between the second and third terms in (6,10,14,18,\ldots)?Which sequence is an arithmetic progression with (d=-4)?If the sequence is (x, x+5, x+10,\ldots), what is the common difference?What is (d) in the sequence (2p,2p+3,2p+6,\ldots)?In which option are the consecutive differences not equal?What is the next term in the sequence (-10,-7,-4,-1,\ldots)?If (d=4) and the first term is (1), what will be the second term?How much equal increase is there in the sequence (25,30,35,40,\ldots)?How much equal decrease is there in the sequence (16,12,8,4,\ldots)?If (a=9) and (d=0), what will be the first three terms?A bus reaches each stop at intervals of (8) minutes. The times are (6,14,22,30,\ldots) minutes. What type of sequence is this?How will the common difference be found from the first two terms of (7,11,15,19,\ldots)?What is the common difference in the sequence (4,8,12,16,\ldots)?What is the common difference of (15,12,9,6,\ldots)?What is the common difference in (9, 9, 9, 9, …)?What is the first term of the arithmetic progression (6,13,20,27,\ldots)?In the sequence (5,11,17,\Box,29,\ldots), what is the value of (\Box)?If (a=7) and (d=4), what is the second term?