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 new sequence is formed by termwise difference of (1, 5, 9,\ldots) and (2, 8, 14,\ldots), what will be its (d)?If the second term is (11) and the fourth term is (21) in (6, 6+d, 6+2d, 6+3d), what is (d)?If (x, x+2, 2x+1) are in an arithmetic progression, what will (d) be?If (4, x+1, 2x+4, 25) are consecutive terms of an arithmetic progression, what is the value of (x)?If (2x+1, x+8, 3x-4) are consecutive terms of an arithmetic progression, what is the value of (x)?If (5a-2, 3a+6, a+18) are in an arithmetic progression, what will be the common difference?For which (p) will (4,4+p,4+3p,4+6p,\ldots) be an arithmetic progression?If (7,u,19,25) are consecutive terms of an arithmetic progression, what is the value of (u)?If 2, x, y, 20 are consecutive terms of an arithmetic progression, what is x + y?What is the common difference of the sequence (\frac{3}{8},\frac{5}{8},\frac{7}{8},\frac{9}{8},\ldots)?If each term of 6, 11, 16, … is multiplied by 2 and 3 is added, what will be the common difference of the new sequence?If (7) is added to each term of (24,20,16,12,\ldots), what will be the common difference of the new sequence?If (3,8,13,18,\ldots) is written in reverse order, what happens to the sign of the common difference?If (x-4,x+2,x+8) are in an arithmetic progression, which statement about (x) is correct?If the opposite of each term of (9,5,1,-3,\ldots) is taken, what will be (d) of the new sequence?Which sequence is an arithmetic progression with (d=\frac{3}{5})?If (2,x+3,3x+1,20) are consecutive terms of an arithmetic progression, what will (x) be?What is the common difference of the sequence (0.6,1.05,1.50,1.95,\ldots)?If (r-9,r-3,r+3,\ldots) is an arithmetic progression, what is (d)?If (3m,4m+2,6m-2) are in an arithmetic progression, what is the value of (m)?