Mathematics
Sequences
अनुक्रम
In this Class 9 Mathematics topic from Sequences and Progressions, students learn how numbers or objects are arranged in a definite order and how to identify the rule connecting successive terms. They practise finding missing terms, writing a sequence from a given pattern, and expressing its general term when the relationship is clear. The topic develops pattern recognition, logical reasoning, and accuracy, while preparing students to understand progressions and solve sequence-based problems in later mathematics.
Practice questions
If \(a_n=\frac{2n-1}{3n+1}\), what will be the simplified value of \(a_8\)?The sequence (5,8,13,20,29,\ldots) has general term (a_n=n^2+4). Which term is (260)?In the sequence (4, 6, 9, 14, 21, 32, …), the successive differences are prime numbers (2, 3, 5, 7, 11, …). What will be the next term?In the sequence (2,5,10,13,26,29,\ldots), the pattern is add (3) and then multiply by (2). What will be the next term?In the sequence (3,8,18,38,78,\ldots), each next term is obtained by doubling the previous term and adding (2). What will be the next term?If (x+2,2x+1,4x-5) are three consecutive terms of a sequence with equal differences, what is the value of (x)?If (a_n=n^2+kn) and (a_3=30), what will be the value of (a_6)?Which of the following sequences is neither an arithmetic progression (AP) nor a geometric progression (GP)?What will be the (9)th term in the sequence (1,4,2,8,4,16,8,32,\ldots)?In the sequence (2,3,6,11,18,27,\ldots), the successive differences are (1,3,5,7,9,\ldots). What will be the next term?If (a_n=n^2+(-1)^n), what will be the value of (a_9)?In the sequence (75,68,61,54,\ldots), how many terms are positive?What is the sum of the first (4) terms of the sequence (3,9,27,81,\ldots)?What will be the next term in the sequence (1,8,19,34,53,\ldots)?If (a_n=n^2+2^n), what will be the value of (a_4+a_5)?What is the average of the first (6) terms of the sequence (2,4,8,16,32,64,\ldots)?If (a_n=n!+n), what will be the value of (a_5)?If \(a_n=\frac{n^2+1}{n}\), what will be the value of \(a_5\)?If (a_1=2) and (a_{n+1}=2a_n+n^2), what will (a_4) be?Which of the following sequences is neither increasing nor decreasing?