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
Which option has (a=14) and (d=4)?What is the difference between the third and fourth terms of (75,69,63,57,\ldots)?If (a=3.5) and (d=2.5), what is the second term?If (t,t+9,t+18,\ldots) is an arithmetic progression, what is the difference between the second and first terms?In the sequence (21,26,31,36,\ldots), what is the value of (a+d)?If (48,42,q,30,\ldots) is an arithmetic progression, what is the value of (q)?Which statement is correct for (7,13,19,25,\ldots)?In an arithmetic progression, the first term is (22) and the second term is (16). What is (d)?If (a=8) and (d=3), which term does (a+2d) represent?If (4,10,16,r,\ldots) is an arithmetic progression, what will (r) be?Which of the following sequences has (a=-6) and (d=5)?What will be the next term of the sequence (\frac{2}{3},\frac{5}{3},\frac{8}{3},\frac{11}{3},\ldots)?If (8,8+s,8+2s,\ldots) is an arithmetic progression, what is its common difference?In a mobile recharge plan, data increases by (1.5) GB each day. The data is (2,3.5,5,6.5,\ldots). What is (d)?In which sequence are terms decreasing by an equal amount but (d) is not (-4)?Ravi says that the sequence 5, 9, 13, 18 is an arithmetic progression (AP). Which statement about his claim is correct?In the sequence (9,16,23,30,\ldots), what is the value of (a+2d)?If (z-4,z+2,z+8,\ldots) is an arithmetic progression, what is (d)?In the sequence (70, 64, 58, 52, ...), what are the next term and d, respectively?A student read 12, 15, 18, and 21 pages on four consecutive days. The student claims that this forms an arithmetic progression (AP). What is the correct evaluation of the claim?