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Recurrence Relation

Class 9 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf \(S_n\) is the sum of the first \(n\) natural numbers, which recurrence relation is always correct for \(n\ge2\)?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 60HardMathematicsIf \(S_n\) is the sum of the first \(n\) natural numbers, which recurrence relation for \(S_{n+1}\) is correct?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 64EasyMathematicsWhat is the (n)th term of the sequence (4,12,28,60,124,\ldots)?Class 9Sequences and Progressionsnth termLevel 56ExpertMathematicsIf (p_1=2) and (p_n=p_{n-1}+n^2+n+1), what is the value of (p_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 46ExpertMathematicsIf (h_1=3), (h_2=8), and (h_n=2h_{n-1}-h_{n-2}+2n), what is the value of (h_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 46ExpertMathematicsIf (T_1=2) and (T_n=(n+2)T_{n-1}+n), what is the value of (T_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 46ExpertMathematicsIf (Q_1=1), (Q_2=2), and (Q_n=Q_{n-1}+Q_{n-2}+n^2), what is the value of (Q_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 46ExpertMathematicsIn a sequence, (P_1=0) and (P_n=P_{n-1}+3n^2-1). What is the value of (P_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46ExpertMathematicsIf (O_1=5) and (O_n=O_{n-1}+2^n+2n), what is the value of (O_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46ExpertMathematicsIn a sequence, (R_1=1) and (R_n=(n+2)R_{n-1}-1). What is the value of (R_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46ExpertMathematicsIf (M_1=2) and (M_n=4M_{n-1}-n), what is the value of (M_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 46ExpertMathematicsIf (G_1=1) and (G_n=2G_{n-1}+2n+1), what is the value of (G_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46ExpertMathematicsIn a sequence, (F_1=90) and (F_n=F_{n-1}-n(n+1)). What is the value of (F_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46ExpertMathematicsIf (E_1=2), (E_2=4), and (E_n=E_{n-1}+E_{n-2}+n), what is the value of (E_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 46ExpertMathematicsIf (D_1=5) and (D_n=3D_{n-1}-(n+1)), what is the value of (D_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46ExpertMathematicsIn a sequence, (C_1=4) and (C_n=C_{n-1}+n(n+2)). What is the value of (C_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46ExpertMathematicsIf (B_1=11) and (B_n=B_{n-1}+2^n-n), what is the value of (B_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46ExpertMathematicsIn a sequence, (A_1=2) and (A_n=(n+1)A_{n-1}+2). What is the value of (A_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 46ExpertMathematicsIf (z_1=1), (z_2=3), and (z_n=z_{n-1}z_{n-2}+n), what is the value of (z_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 46ExpertMathematicsIn a sequence, (y_1=2) and (y_n=y_{n-1}+(2n-1)^2). What is the value of (y_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46Expert