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, b, c) are in an arithmetic progression, what is the value of (a-2b+c)?For which (a) is (a+4, 2a+1, 5a-8) an arithmetic progression?If (2, x+1, 3x+4, 5x+7) is an arithmetic progression, what is the value of (x)?If (10, 10+d, 10+2d, 10+4d) is an arithmetic progression, which conclusion is correct?In which option do the terms form an arithmetic progression with common difference 0?If (3, 3+2m, 3+4m, 3+6m) is an arithmetic progression, what is the common difference?For which (y) are (5y+2, 3y+10, y+18) in an arithmetic progression?If (x−5, x+3, x+11, x+19) is an arithmetic progression, what are the differences of the first two and last two terms?For which (k) is (k+7, 2k+3, 4k-5) an arithmetic progression?If (13, 2x+1, 4x-5) are in an arithmetic progression, what is the common difference?Which conclusion is correct for the sequence (13, 2x+1, 4x-5)?If (4p+1, 6p-3, 9p-10) are in an arithmetic progression, which pair of (p) and common difference is correct?In which option is the sequence not an arithmetic progression although the first two differences are equal?If (12, 12+r, 12+3r, 12+6r,\ldots) is an arithmetic progression, what should be the value of (r)?If (3x-2, 2x+5, x+16) are consecutive terms of an arithmetic progression, what is the value of (x)?If (4p+1, 3p+7, p+19) are in an arithmetic progression, what will be the common difference?If (5, x, y, 29) are consecutive terms of an arithmetic progression, what is (x+y)?If each term of (6, 10, 14, 18,\ldots) is multiplied by (3) and then (2) is subtracted, what will be (d) of the new sequence?If (2n) is added to each term of (12, 9, 6, 3,\ldots), where (n) is the term number, what will be the new common difference?If (2a−5, a+4, 4a−7) are in an arithmetic progression, what is the value of a?