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Recursive Rule

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

MathematicsIf \(a_1=5\) and \(r=-2\), what are the first four terms?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Medium MathematicsWhich of the following is an explicit rule for a sequence because it expresses \(a_n\) directly in terms of \(n\)?Class 9Sequences and ProgressionsExplicit or general ruleLevel 48Medium MathematicsWhich of the following rules gives the nth term of a sequence directly in terms of n?Class 9Sequences and ProgressionsExplicit or general ruleLevel 50Easy MathematicsAn explicit rule of a sequence gives each term directly in terms of its position. Which of the following is an explicit rule for a sequence?Class 9Sequences and ProgressionsExplicit or general ruleLevel 50Easy MathematicsIf (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 46Expert MathematicsIf (g_1=2) and (g_n=2g_{n-1}+1), what is (g_5:g_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46Expert MathematicsIf (f_1=3) and (f_n=f_{n-1}+3n-1), what is the sum of the first four terms?Class 9Sequences and ProgressionsRecursive ruleLevel 46Expert MathematicsIf (e_1=2) and (e_n=3e_{n-1}-n), what is the value of (e_4-e_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 46Expert MathematicsIf (d_1=2) and (d_n=d_{n-1}+4n), for which (n) will (d_n>60) first occur?Class 9Sequences and ProgressionsRecursive ruleLevel 46Expert MathematicsIf (c_1=3) and (c_n=c_{n-1}+n(n-1)), which statement is correct?Class 9Sequences and ProgressionsRecursive ruleLevel 46Expert MathematicsIf (b_n=3b_{n-1}+2) and (b_3=44), what is the value of (b_1)?Class 9Sequences and ProgressionsRecursive ruleLevel 46Expert MathematicsIf aₙ = aₙ₋₁ + 4n − 2 and a₅ = 70, what is the value of a₂?Class 9Sequences and ProgressionsRecursive ruleLevel 46Expert MathematicsIn a sequence, each new term is obtained by adding a fixed number to the immediately preceding term. What type of sequence is it?Class 9Sequences and ProgressionsRecursive ruleLevel 46Expert MathematicsIf (T_1=2) and (T_n=(n+2)T_{n-1}+n), what is the value of (T_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 46Expert MathematicsIn a sequence, (S_1=75) and (S_n=S_{n-1}-2^n). What is the value of (S_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46Expert MathematicsIf (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 46Expert MathematicsIn 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 46Expert MathematicsIn 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 46Expert MathematicsIf (M_1=2) and (M_n=4M_{n-1}-n), what is the value of (M_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 46Expert MathematicsIn a sequence, (L_1=4) and (L_n=L_{n-1}+5n-4). What is the value of (L_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 46Expert