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 (9, y, 2y+6) are in an arithmetic progression, what is the common difference?What is the correct conclusion about the sequence (9, y, 2y+6)?If (u, v, w) are in an arithmetic progression and (u+w=48), what is the value of (v)?The sequence (2, 2+k, 2+4k, 2+9k) can be an arithmetic progression. Under what condition?If (14, 14-d, 14-2d, 14-3d) is an arithmetic progression, what is the common difference?For which (n) will (n+2, 2n+5, 4n+8) form an arithmetic progression?If (3z, z+10, 22-z) are in an arithmetic progression, what is the first term?What mistake is made if (81, 27, 9, 3) is considered an arithmetic progression?If (2, 5, 10, 17) is called an arithmetic progression, what does the correct check show?For which (r) will (r-1, 2r+2, 4r+7) be in an arithmetic progression, and what will be the common difference?If (x, x+6, 3x−2) are in an arithmetic progression, what is the third term?If (x, x+6, 3x-2) are in an arithmetic progression, what is the correct value of (x)?For which \(s\) will \(\frac{s}{2}, s+3, 3s-1\) form an arithmetic progression?If (6, h, 30) are in an arithmetic progression, which pair of (h) and common difference is correct?The sequence (4x-3, 3x+5, x+21) is in an arithmetic progression. What is the common difference?The sequence (4x-3, 3x+5, x+21) is in an arithmetic progression. Which is the correct common difference?If (1, 1+2p, 1+5p, 1+9p) is an arithmetic progression, what is correct about (p)?Which sequence has common difference (\frac{3}{4})?If (5-2t, 7-t, 12+t) are in an arithmetic progression, what is the value of (t)?In the sequence (101, 97, 93, 89, \ldots), what is the common difference and what is its nature?