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=n^2+4n), how many terms will be less than (200)?What is the sum of the first (5) terms of the sequence (2,5,10,17,26,\ldots)?In a sequence, (a_1=2) and the successive differences are (3,7,11,15,\ldots). What will be (a_5)?What will be the (10)th term in the sequence (\frac{1}{2},\frac{2}{3},\frac{3}{4},\ldots)?What will be the (8)th term in the sequence (\frac{1}{3},\frac{2}{5},\frac{3}{7},\ldots)?In the sequence (1,\frac{1}{2},\frac{1}{3},\frac{1}{4},\ldots), which is the first term less than (\frac{1}{20})?If \(a_n=\frac{n}{n+2}\), which is the first term greater than \(\frac{4}{5}\)?In the sequence (1,4,11,26,57,\ldots), the rule is (a_{n+1}=2a_n+n+1). What will be the next term?If (a_1=3) and (a_{n+1}=a_n+n^2), what will be (a_6)?If (a_n=2n^3+1), what will be the value of (a_5+a_6)?If (a_n=5n-(-1)^n), what will be the value of (a_8)?In the sequence (2,9,28,65,\ldots), the terms are of the form (n^3+1). What will be the next term?The second differences between consecutive terms of a sequence are all equal and non-zero. What type of sequence is it generally?Which of the following sequences has equal, non-zero second differences and is therefore an example of a quadratic sequence?If (x,x+3,2x+1) are three consecutive terms of a sequence and their differences are equal, what is the value of (x)?If (a_n=kn+2) and (a_5=27), what will be the value of (a_9)?If (a_n=pn^2+q), (a_1=5) and (a_2=14), what will be (a_4)?If (a_n=n^2+cn) and (a_4=32), what will be the value of (a_9)?In the sequence (2,6,12,20,\ldots), how many terms are less than (100)?If (a_n=2^n+n^2), what will be the value of (a_5)?