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 (1,3,6,10,15,\ldots), which is the first term greater than (200)?What will be the next term in the sequence (9,21,39,63,93,\ldots)?If (a_1=5) and (a_{n+1}=2a_n+3n), what will (a_5) be?What will be the next term in the sequence (4,13,28,49,76,\ldots)?Let the general term of a sequence be \(a_n=2^n+1\), where \(n\geq1\). What type of sequence is it?If (a_n=2n^2+5n), which term is (403)?What will be the next term in the sequence (150,146,137,123,104,\ldots)?In the sequence (7,10,20,23,46,49,\ldots), the pattern is add (3), then multiply by (2). What will be the next term?If (a_1=3) and (a_{n+1}=2a_n+n^2), what will (a_5) be?What will be the (9)th term in the sequence (\frac{3}{4},\frac{5}{7},\frac{7}{10},\ldots)?If (a_n=3^n-n^2), what will be the value of (a_5)?The sequence (2,12,36,80,150,\ldots) has general term (a_n=n^3+n^2). What will be (a_8-a_6)?If (a_n=n^3+n^2), what is the correct value of (a_8-a_6)?In the sequence (5,9,18,34,59,\ldots), the successive differences are (4,9,16,25,\ldots). What will be the next term?If (a_n=5n^2-4n+1), how many terms will be less than (400)?In the sequence (6,11,x,41,66), the successive differences are (5,12,18,25). What is the value of (x)?In the sequence (250,239,221,x,166), the differences are (-11,-18,-25,-30). What will (x) be?If \(a_n=\frac{n^2+n}{2}\), what will be the value of \(a_{18}\)?If (a_n=2n!+1), what will be the value of (a_5)?If \(a_n=\frac{3n-1}{2n+5}\), what will be the simplified value of \(a_7\)?