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 (-6,s,10,18) are consecutive terms of an arithmetic progression, what will (s) be?If twice each term of (2,6,10,\ldots) is taken and (1) is subtracted, what will be (d) of the new sequence?If the fourth term of (4,4+d,4+2d,4+3d) is (31), what is the second term?Which sequence is an arithmetic progression with (a=18) and (d=-\frac{3}{2})?If (2u-3,3u+2,5u-1) are in an arithmetic progression, what is the value of (u)?If a sequence has (d=10) and each term is multiplied by (-\frac{1}{2}), what will be the new (d)?If a new sequence (4^2,9^2,14^2,\ldots) is formed from (4,9,14,\ldots), is the new sequence an arithmetic progression?If 6, h, 24 are in an arithmetic progression, what is h − 6?If (4n) is subtracted from each term of (3,8,13,\ldots), what will be the new common difference?For which value of k will k − 2, k + 5, 2k + 1 be in an arithmetic progression?If the square of the term number is added to each term of (1,4,7,\ldots), what type will the new sequence be?If (a+3d-a=36) in (a,a+d,a+2d,a+3d), what is (d)?If (4,x,2x+1,25) are consecutive terms of an arithmetic progression, what is the correct conclusion about (x)?If every second term is selected from (5,12,19,26,\ldots), what will be the common difference of the formed sequence?For the sequence (a_n=4n-9), what is the common difference of the first four terms?Is the sequence (2,5,10,17,\ldots) an AP?If (p-3,2p+1,5p-7) are consecutive terms of an AP, what are (p) and the common difference?Three consecutive AP terms are (7,x,31). What are (x) and the common difference?Which statement is correct about the sequence (a,a+r,a+2r,a+3r,\ldots)?In a sequence, (a_{n+1}-a_n=6) for every (n). What is the conclusion?