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Subjects

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 (c_1=3) and (c_n=c_{n-1}+n(n-1)), which statement is correct?ExpertLevel 46If (d_1=2) and (d_n=d_{n-1}+4n), for which (n) will (d_n>60) first occur?ExpertLevel 46If (e_1=2) and (e_n=3e_{n-1}-n), what is the value of (e_4-e_3)?ExpertLevel 46If (f_1=3) and (f_n=f_{n-1}+3n-1), what is the sum of the first four terms?ExpertLevel 46If (g_1=2) and (g_n=2g_{n-1}+1), what is (g_5:g_4)?ExpertLevel 46If (h_1=3), (h_2=8), and (h_n=2h_{n-1}-h_{n-2}+2n), what is the value of (h_5)?ExpertLevel 46If (p_1=2) and (p_n=p_{n-1}+n^2+n+1), what is the value of (p_5)?ExpertLevel 46If a₁ = 3 and r = −2, what are the first four terms?MediumLevel 53