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 will be the 10th term in the sequence 1, 5, 2, 10, 4, 20, 8, ...?If (x-1,2x+3,4x+1) are three consecutive terms of a sequence with equal differences, what is the value of (x)?Which of the following sequences has unequal first differences between consecutive terms, but a second difference of 2 each time?Which of the following sequences will always have a constant difference between consecutive terms?In the sequence (6,10,17,29,48,\ldots), the differences of successive differences are (3,5,7,\ldots). What will be the next term?If (a_n=2^n+3^n), what will be the value of (a_4)?What is the sum of the first 6 terms of the sequence 3, 7, 13, 21, 31, ...?What is the correct sum of the first 6 terms of the sequence (3, 7, 13, 21, 31, ...)?In the sequence (1,\frac{1}{4},\frac{1}{9},\frac{1}{16},\ldots), which is the first term less than (\frac{1}{100})?If \(a_n=\frac{n}{2n-1}\), which is the first term less than \(\frac{3}{5}\)?What is the average of the first (5) terms of the sequence (8,16,32,64,\ldots)?If (a_n=6n-(-1)^n), what will be the value of (a_{12}-a_{11})?On the basis of which condition can a sequence definitely be classified as an arithmetic progression (AP)?If (a_n=3n^2-2n+5), what will be the value of (a_{12}+a_{13})?In the sequence (2,9,30,93,282,\ldots), each next term is obtained by multiplying the previous term by (3) and adding (3). What will be the next term?If (a_n=2n^3-n), what will be the value of (a_6-a_4)?Which of the following statements correctly describes a key feature of a sequence?In the sequence (10,13,19,31,55,\ldots), the added term doubles each time. What will be the next term?If \(a_n=\frac{n^2-1}{n+1}\), what will be the value of \(a_{15}\)?What will be the next term in the sequence (1,4,10,20,35,\ldots)?