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
In the sequence (7,14,23,34,47,\ldots), the first difference is (7) and each difference increases by (2). What is the sixth term?In the sequence (1,3,6,10,15,\ldots), which term is (45)?In the sequence (2,4,8,16,\ldots), (a_1=2) and each next term is double the previous term. What is the eighth term?In the sequence (4,7,12,19,28,\ldots), (a_n=n^2+3). Which term is (84)?Find the next term in the sequence (6,13,24,39,58,\ldots).In the sequence (1,8,27,64,\ldots), the (n)th term is (n^3). What is the difference between the (6)th term and the (5)th term?In the sequence (10,8,11,9,12,10,\ldots), two subsequences are hidden. What is the next term?What is the next term in the sequence (2,9,4,16,6,25,\ldots)?In the sequence (3,6,11,18,27,\ldots), (a_n=n^2+2). What is (a_9)?How many terms of the sequence (12,17,22,27,\ldots) are less than (60)?Which of the following sequences has a constant difference between consecutive terms but does not have a constant ratio between consecutive terms?In the sequence (5,10,20,40,\ldots), which term is (320)?In the sequence (4,6,10,16,26,\ldots), each term is the sum of the previous two terms. What is the seventh term?In the sequence \((1,4,10,19,31,\ldots)\), the successive differences are \((3,6,9,12,\ldots)\). What is the sixth term?In the sequence \((50,45,37,26,12,\ldots)\), the differences are \((-5,-8,-11,-14,\ldots)\). What is the next term?In the sequence (2,7,14,23,34,\ldots), (a_n=n^2+n) is not correct. Which general term is correct?What is the general term of the sequence (0,3,8,15,24,\ldots)?Which formula is correct for the sequence (3,7,13,21,31,\ldots)?What is the next term in the sequence (11,18,27,38,51,\ldots)?The sequence (2,12,30,56,90,\ldots) does not simply fit (a_n=n(n+1)(?)). Which (a_n) is correct?