Mathematics
Recursive rule
पुनरावर्ती नियम
In Class 9 Mathematics, the topic Recursive Rule in Sequences and Progressions explains how a sequence can be defined by giving one or more starting terms and a rule that uses earlier terms to find the next one. Students learn to read and write such rules, generate sequence terms step by step, recognize patterns, and check whether a rule correctly describes a sequence. The topic also connects recursive descriptions with familiar arithmetic and geometric progressions, helping students understand how terms change and how sequence patterns can be represented mathematically.
Practice questions
If (a_1=80) and (a_{n+1}=a_n-20), what is (a_4)?EasyLevel 48If (a_1=7) and (a_{n+1}=a_n+3), what is the value of (a_5-a_2)?EasyLevel 48If (a_1=5) and (a_{n+1}=a_n+4), what is (a_3+a_4)?EasyLevel 48If (a_1=5) and (a_{n+1}=a_n+4), what is (a_2+a_4)?EasyLevel 48If (a_1=3) and (a_{n+1}=a_n^2), what is (a_2)?EasyLevel 48If (a_1=2) and (a_{n+1}=a_n^2+2), what is (a_2)?EasyLevel 48If (a_1=120) and (a_{n+1}=a_n-25), what is (a_3)?EasyLevel 48If (a_1=13) and (a_{n+1}=a_n+8), what is (a_4)?EasyLevel 48If (a_1=3) and (a_{n+1}=5a_n), what is (a_3)?EasyLevel 48Which of the following rules is a recursive definition of a sequence?EasyLevel 48If \(a_1=36\) and \(a_{n+1}=\frac{a_n}{2}+2\), what is \(a_2\)?EasyLevel 48If (a_1=2) and (a_{n+1}=a_n+4n), what is (a_4)?EasyLevel 48If (a_1=30) and (a_{n+1}=a_n-(n+2)), what is (a_3)?EasyLevel 48If (a_1=5), (a_2=8), and (a_n=a_{n-1}+3), what is (a_5)?EasyLevel 48If (a_1=2), (a_2=4), and (a_n=3a_{n-1}), what is (a_4)?EasyLevel 48If (a_1=5), (a_2=7), and (a_n=a_{n-1}+a_{n-2}), what is (a_6)?EasyLevel 48If a_1 = 5, a_2 = 7, and a_n = a_{n-1} + a_{n-2}, what is a_5?EasyLevel 48According to the recursive rule in the sequence (9, 13, 17, 21, ...), what is the next term?EasyLevel 48According to the recursive rule in the sequence (64,32,16,8,\ldots), what will be the next term?EasyLevel 48For the sequence (8,16,24,32,\ldots), (a_1=8). What is added in the recursive rule?EasyLevel 48