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
What is the correct general term for the sequence (2,12,30,56,90,\ldots)?What is the (20)th term of the sequence (9,16,25,36,\ldots)?What is the (10)th term of the sequence (8,27,64,125,\ldots)?In the sequence (3,5,9,17,33,\ldots), each next term is double the previous term minus (1). What is the next term?In the sequence (2,5,11,23,47,\ldots), each next term is double the previous term plus (1). What is the next term?In the sequence (30,15,17,8.5,10.5,\ldots), the pattern is divide by (2), then add (2). What is the next term?In the sequence (1,4,13,40,121,\ldots), each next term is (3) times the previous term plus (1). What is the next term?Which of the following sequences is both an arithmetic progression and a geometric progression?In the sequence (7,10,16,28,52,\ldots), the added amount doubles each time. What is the next term?What is the (20)th term of the sequence (2,4,7,11,16,\ldots)?Which term of the sequence (6,13,20,27,\ldots) is (83)?What will be the eighth term in the sequence (1,-2,4,-8,16,\ldots)?What is the seventh term in the sequence (5,-10,20,-40,\ldots)?What is the (10)th term in the sequence (1,1,2,3,5,8,\ldots)?Which of the following sequences is both an arithmetic progression (AP) and a geometric progression (GP)?The sequence (3,12,27,48,75,\ldots) has general term (a_n=3n^2). What is (a_8-a_6)?What will be the next term in the sequence (4,10,18,28,40,\ldots)?In the sequence (4,11,22,37,56,\ldots), the successive differences are (7,11,15,19,\ldots). What will be the next term?If the first differences of a sequence are not constant but its second differences are constant, what type of sequence is it generally?What will be the next term in the sequence (2,5,10,17,26,\ldots)?