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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 termExpert MathematicsWhich sequence has a general term in linear form and therefore forms an arithmetic progression?Class 9Sequences and Progressionsnth termEasy MathematicsWhich of the following nth terms does not represent an arithmetic progression (AP)?Class 9Sequences and Progressionsnth termEasy 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 ProgressionExpert MathematicsWhich of the following sequences is not a geometric progression?Class 9Sequences and ProgressionsGeometric ProgressionExpert 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 ProgressionExpert 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 ProgressionHard MathematicsWhich of the following sequences is a geometric progression with a negative common ratio?Class 9Sequences and ProgressionsGeometric ProgressionHard 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 ProgressionHard MathematicsIf \(x, y, z\) are three consecutive terms of a geometric progression, which of the following relations is always true?Class 9Sequences and ProgressionsGeometric ProgressionHard MathematicsWhich of the following sequences is a geometric progression with common ratio \(-2\)?Class 9Sequences and ProgressionsGeometric ProgressionMedium MathematicsWhich condition is necessary for a sequence to be a geometric progression (GP)?Class 9Sequences and ProgressionsGeometric ProgressionMedium MathematicsWhich of the following nth-term expressions represents an arithmetic progression?Class 9Sequences and ProgressionsArithmetic ProgressionHard MathematicsWhich of the following explicit rules defines an arithmetic sequence?Class 9Sequences and ProgressionsExplicit or general ruleHard 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 ruleHard 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 ruleHard 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 ProgressionsSequencesExpert MathematicsWhich of the following sequences is neither increasing nor decreasing?Class 9Sequences and ProgressionsSequencesExpert MathematicsWhich of the following sequences is neither an arithmetic progression (AP) nor a geometric progression (GP)?Class 9Sequences and ProgressionsSequencesExpert MathematicsWhich of the following sequences is neither an arithmetic progression nor a geometric progression?Class 9Sequences and ProgressionsSequencesExpert