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Perfect Squares

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

MathematicsWhich of the following expressions can be written as a difference of two perfect squares?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 65Easy MathematicsWhich of the following expressions is a difference of two perfect squares?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 65Easy MathematicsWhich of the following expressions can be factorised using the identity for the difference of squares?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 65Easy MathematicsWhich form is best for finding ( 99^2 ) easily?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 65Easy MathematicsIf \(S_n=1+2+3+\cdots+n\), which of the following expressions is an odd perfect square for every natural number \(n\)?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 61Expert MathematicsIf a positive integer \(S\) can be written as the sum of the first \(n\) natural numbers, which of the following quantities must be an odd perfect square?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 60Hard MathematicsWhich condition is necessary and sufficient for a positive integer \(T\) to be the sum of the first \(n\) natural numbers for some positive integer \(n\)?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 60Hard MathematicsWhat is the (n)th term of the sequence (9,16,25,36,49,\ldots)?Class 9Sequences and Progressionsnth termLevel 56Expert MathematicsWhich is the (n)th term of the sequence (4,9,16,25,\ldots)?Class 9Sequences and Progressionsnth termLevel 56Expert 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 MathematicsIn the sequence (5,9,18,34,59,\ldots), the successive differences are (4,9,16,25,\ldots). What will be the next term?Class 9Sequences and ProgressionsSequencesLevel 43Expert MathematicsThe sequence (5,8,13,20,29,\ldots) has general term (a_n=n^2+4). Which term is (260)?Class 9Sequences and ProgressionsSequencesLevel 42Expert MathematicsIn the sequence (1,5,14,30,55,\ldots), the successive differences are (4,9,16,25,\ldots). What will be the next term?Class 9Sequences and ProgressionsSequencesLevel 41Expert MathematicsIn the sequence (4,7,12,19,28,\ldots), (a_n=n^2+3). Which term is (84)?Class 9Sequences and ProgressionsSequencesLevel 44Hard MathematicsIn the sequence \((1,4,9,16,\ldots)\), what is the difference between the 15th term and the 14th term?Class 9Sequences and Progressionsnth termLevel 44Medium MathematicsWhat will be the (9)th term in (1,4,9,16,25,\ldots)?Class 9Sequences and ProgressionsSequencesLevel 41Medium MathematicsWhich statement gives the correct comparative estimate of the spiral distance \( \sqrt{32} \)?Class 9Number SystemsSquare root spiralLevel 22Expert MathematicsWhat form is obtained after simplifying the radius \( \sqrt{40} \) in the square root spiral?Class 9Number SystemsSquare root spiralLevel 22Expert MathematicsIf the spiral is constructed up to \( \sqrt{27} \), in which interval will the final distance from the origin lie?Class 9Number SystemsSquare root spiralLevel 22Expert MathematicsIf \(\sqrt{121}\) is formed in the spiral, how many units is it in actual length?Class 9Number SystemsSquare root spiralLevel 21Expert