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 every term of (18, 13, 8, 3,\ldots) is divided by (4), what will be the new (d)?If (a,b,c) are in an arithmetic progression and (a=4), (c=22), what is (b-a)?In which option do the terms decrease equally but the common difference is not (-8)?If the terms (4, 4+d, 4+2d) become (4, 1, −2), what is d?If (2, 5, 8,\ldots) and (7, 12, 17,\ldots) are added term by term, what will be the common difference of the formed sequence?If (1, 5, 9,\ldots) is subtracted term by term from (20, 17, 14,\ldots), what will be (d) of the new sequence?If (x-5, x, x+5) are in an arithmetic progression, which statement about (x) is correct?If each term of (15, 12, 9,\ldots) is decreased by its term number, what will be (d) of the new sequence?If (2x, x+6, 18) are in an arithmetic progression, what is the value of (d)?Which sequence is not an arithmetic progression even though the first two differences look equal?If (1,2,3) 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 (6, 10, 14,\ldots) and (3, 8, 13,\ldots), what type will it be?If (5, 5, 5,\ldots) is added term by term to (2, 4, 6,\ldots), what will be (d) of the new sequence?If (-4, s, 8, 14) are consecutive terms of an arithmetic progression, what will (s) be?If twice each term of (1, 4, 7,\ldots) is taken and then (1) is subtracted, what will be the common difference of the new sequence?If the fourth term of (3, 3+d, 3+2d, 3+3d) is 24, what is the second term?Which sequence is an arithmetic progression with (a=12) and (d=-\frac{3}{2})?If (2u−1, 3u+2, 5u+1) are in an arithmetic progression, what is the value of u?A sequence initially has (d=6). If each term is multiplied by (-\frac{1}{2}), what will be the new (d)?If a new sequence formed from (9, 15, 21,\ldots) is (9^2, 15^2, 21^2,\ldots), is the new sequence an arithmetic progression?