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 the term number (n) is added to each term of (5,9,13,\ldots), what will be the new (d)?In an arithmetic progression, the difference between the second and sixth terms is (24). What will (d) be?In an arithmetic progression, the difference between the fifth and first terms is (-20). What is the common difference?If (2n) is subtracted from each term of (2,7,12,\ldots), where (n) is the term number, what will be the new common difference?Which statement is correct for (8,8+3q,8+6q,8+9q,\ldots)?If each term of 13, 10, 7, 4, … is multiplied by −2, what will be the common difference of the new sequence?If (x,2x+4,4x) are in an arithmetic progression, what is the common difference?What is (d) in the sequence \(-\frac{5}{3},-\frac{7}{6},-\frac{2}{3},-\frac{1}{6},\ldots\)?For which (m) will (m-1,2m+3,4m-1) be in an arithmetic progression?If every term of (25,20,15,10,\ldots) is divided by (5), what will be the new (d)?If a, b, c are in arithmetic progression and a = 6, c = 30, what is b − a?In which option do terms decrease equally but (d) is not (-7)?If the terms (6,6+d,6+2d) become (6,2,-2), what is (d)?If (2,6,10,\ldots) and (5,12,19,\ldots) are added term by term, what will be (d) of the formed sequence?If (1,4,7,\ldots) is subtracted term by term from (18,14,10,\ldots), what will be (d) of the new sequence?If (x-6,x,x+6) are in an arithmetic progression, which statement is correct?If the term number is subtracted from each term of (30,27,24,\ldots), what will be the new (d)?If (3,6,9) are added respectively to (a,a+d,a+2d), what will be the new common difference?If a sequence is formed by termwise difference of (8,13,18,\ldots) and (4,10,16,\ldots), what will be its (d)?If (9,9,9,\ldots) is added term by term to (2,5,8,\ldots), what will be (d) of the new sequence?