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Sequence Classification

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

MathematicsIf the nth term of a sequence is \(a_n=7n+4\), what type of sequence is it?Class 9Sequences and Progressionsnth termLevel 56Expert MathematicsWhich sequence has a general term in linear form and therefore forms an arithmetic progression?Class 9Sequences and Progressionsnth termLevel 61Easy MathematicsWhich of the following nth terms does not represent an arithmetic progression (AP)?Class 9Sequences and Progressionsnth termLevel 61Easy MathematicsIf \(x, y, z\) are three consecutive terms of a geometric progression and \(x\neq0\) and \(y\neq0\), which is the necessary and sufficient condition for them?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsWhich of the following sequences is not a geometric progression?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsIf \(p, q, r\) are three consecutive non-zero terms of a geometric progression, which of the following relations must be true?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Expert MathematicsIf three non-zero numbers \(a, b, c\) are consecutive terms of a geometric progression in this order, which relation must be true?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsWhich of the following sequences is a geometric progression with a negative common ratio?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsIf \(x, y, z\) are three consecutive terms of a geometric progression and \(y\ne0\), which of the following relations must be true?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsIf \(x, y, z\) are three consecutive terms of a geometric progression, which of the following relations is always true?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsWhich of the following sequences is a geometric progression with common ratio \(-2\)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Medium MathematicsWhich condition is necessary for a sequence to be a geometric progression (GP)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Medium MathematicsWhich of the following nth-term expressions represents an arithmetic progression?Class 9Sequences and ProgressionsArithmetic ProgressionLevel 52Hard MathematicsWhich of the following explicit rules defines an arithmetic sequence?Class 9Sequences and ProgressionsExplicit or general ruleLevel 48Hard MathematicsFor the sequence \(a_1=7\) and \(a_{n+1}=a_n+4\), which is the correct classification of the sequence?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsSuppose a sequence is defined by \(u_1=1\) and \(u_{n+1}=u_n+2n+1\). What type of sequence is it?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsLet the general term of a sequence be \(a_n=2^n+1\), where \(n\geq1\). What type of sequence is it?Class 9Sequences and ProgressionsSequencesLevel 43Expert MathematicsWhich of the following sequences is neither increasing nor decreasing?Class 9Sequences and ProgressionsSequencesLevel 42Expert MathematicsWhich of the following sequences is neither an arithmetic progression (AP) nor a geometric progression (GP)?Class 9Sequences and ProgressionsSequencesLevel 42Expert MathematicsWhich of the following sequences is neither an arithmetic progression nor a geometric progression?Class 9Sequences and ProgressionsSequencesLevel 41Expert