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Mathematics Class 9

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

MathematicsSuppose \(a_1\ne0\). Which recursive rule produces a sequence in which each next term has twice the magnitude of the previous term and the opposite sign?Class 9Sequences and ProgressionsRecursive ruleLevel 46HardMathematicsLet \(r\) be a constant and \(a_1\ne 0\). Which of the following recursive rules necessarily makes the sequence a geometric progression?Class 9Sequences and ProgressionsRecursive ruleLevel 45HardMathematicsWhich of the following recursive rules generally requires two initial terms to determine a sequence?Class 9Sequences and ProgressionsRecursive ruleLevel 45HardMathematicsWhich of the following recursive rules defines the sequence \(5,8,11,14,\ldots\)?Class 9Sequences and ProgressionsRecursive ruleLevel 44MediumMathematicsIf (a_1=3) and (a_{n+1}=a_n^2+1), what is (a_2)?Class 9Sequences and ProgressionsRecursive ruleLevel 49EasyMathematicsWhich of the following sequences is neither increasing nor decreasing?Class 9Sequences and ProgressionsSequencesLevel 42ExpertMathematicsWhich of the following sequences has non-constant consecutive first differences but constant second differences?Class 9Sequences and ProgressionsSequencesLevel 42ExpertMathematicsWhat is the next term in (128,63,30.5,14.25,\ldots) if the rule is divide the previous term by (2) and subtract (1)?Class 9Sequences and ProgressionsSequencesLevel 42HardMathematicsWhich sequence shows the first four terms of (a_n=2^n+n)?Class 9Sequences and ProgressionsSequencesLevel 42HardMathematicsIf (a_1=3), (a_2=8), and each next term is the sum of the previous two terms, what is (a_5)?Class 9Sequences and ProgressionsSequencesLevel 41MediumMathematicsWhich sequence is formed by (a_n=3n^2)?Class 9Sequences and ProgressionsSequencesLevel 41MediumMathematicsWhat is the next term of (2,3,5,8,13,\ldots)?Class 9Sequences and ProgressionsSequencesLevel 41MediumMathematicsIn a delivery service, the distance is \(x\) km and the total charge is \(y\) rupees. The charge is 260 rupees for 3 km and 420 rupees for 7 km. Which linear model correctly represents this situation?Class 9Introduction to PolynomialsSlope and y-interceptLevel 40HardMathematicsWhich of the following lines has a negative slope and a y-intercept of 4?Class 9Introduction to PolynomialsSlope and y-interceptLevel 40HardMathematicsWhich of the following equations represents a line that passes through the origin and has a negative slope?Class 9Introduction to PolynomialsSlope and y-interceptLevel 39HardMathematicsIn the linear equation \(y=mx+c\), which condition is necessary for the line to be parallel to the \(x\)-axis?Class 9Introduction to PolynomialsSlope and y-interceptLevel 40MediumMathematicsThe temperature of a room over time is given by \(T=18-2h\), where \(T\) is the temperature (in °C) and \(h\) is time (in hours). What is the correct meaning of the \(y\)-intercept in this situation?Class 9Introduction to PolynomialsSlope and y-interceptLevel 39MediumMathematicsIf a line has slope (6) and (y)-intercept (-4), which equation is correct?Class 9Introduction to PolynomialsSlope and y-interceptLevel 38MediumMathematicsIf (C(t)=390-11t) and (D(t)=270-22t), how does (C(t)-D(t)) change?Class 9Introduction to PolynomialsLinear growth and decayLevel 37ExpertMathematicsIf in (y=120+ax), (y) increases by (88) from (x=6) to (x=14), what is (a)?Class 9Introduction to PolynomialsLinear growth and decayLevel 38Hard