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 (a=11) and (d=6), what are the first four terms of the arithmetic progression?What will be the next term in (81,75,69,63,\ldots)?What is the common difference of (\frac{4}{7},\frac{6}{7},\frac{8}{7},\frac{10}{7},\ldots)?If consecutive terms of an arithmetic progression are 32 and 41, what will be the common difference d?What is the common difference of the sequence (18,23,28,33,\ldots)?If (4, k, 14, 19, …) is an arithmetic progression, what is the value of k?In the sequence (-2,3,8,13,\ldots), what are (a) and (d) respectively?Which of the following sequences is an arithmetic progression?Why is the sequence (2,6,12,20,\ldots) not an arithmetic progression?A student says that the sequence 25, 21, 17, 14 is an arithmetic progression because its terms are decreasing. What is the error in the student's statement?What is the common difference in the sequence (5x,5x+2,5x+4,\ldots)?If (p, 11, 15, 19, ...) is an arithmetic progression, what is the value of p?What is the value of (d) in the sequence (31,27,23,19,\ldots)?If (3,m,11) are three consecutive terms of an arithmetic progression, what is (m)?Which sequence is an arithmetic progression with (d=-6)?What is the common difference in the sequence (\frac{3}{4},1,\frac{5}{4},\frac{3}{2},\ldots)?If (a=-5) and (d=4), what are the first four terms?What is the common difference of the sequence (0.2,0.5,0.8,1.1,\ldots)?If two consecutive terms in an arithmetic progression are 12 and 17, what is d?In the sequence (8,13,18,23,\ldots), what will be the next term after (23)?