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 (6,10,n,18) are consecutive terms of an arithmetic progression, what is (n)?Which option represents an arithmetic progression with a = 9 and d = 3?What is the difference between the third and fourth terms of (42,39,36,33,\ldots)?If (a=2.5) and (d=1.5), what is the second term?Which sequence has common difference (0)?If (x, x+7, x+14,\ldots) is an arithmetic progression, what is the difference between the second and first terms?In the sequence (16,20,24,28,\ldots), what is the value of (a+d)?If (21,18,q,12,\ldots) is an arithmetic progression, what is the value of (q)?Which statement is correct for (4,9,14,19,\ldots)?In an arithmetic progression, the first term is (13) and the second term is (8). What is (d)?If (a=6) and (d=2), which term does (a+2d) represent?A student says that the sequence 15, 11, 7, 3, ldots is not an arithmetic progression because its terms are decreasing. What is the correct evaluation of this statement?Which of the following sequences has (a=-4) and (d=6)?What will be the next term of the sequence (1,\frac{3}{2},2,\frac{5}{2},\ldots)?If (5,5+s,5+2s,\ldots) is an arithmetic progression, what is its common difference?A parking fee increases by (20) rupees every hour. The fees are (30,50,70,90,\ldots). What is (d)?In which sequence are the terms decreasing by an equal amount but (d) is not (-2)?If (a=10) and (d=0), what will be the fourth term?In the sequence (3,8,13,18,\ldots), what is the value of (a+2d)?If (y-2,y+1,y+4,\ldots) is an arithmetic progression, what is (d)?