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Sum Formula

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

MathematicsWhat is the difference between the sum of the first (135) natural numbers and the sum of the first (90) natural numbers?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 62Hard MathematicsIf \(S_n\) is the sum of the first \(n\) natural numbers, which of the following statements is always true for every positive integer \(n\)?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 62Hard MathematicsWhat is the value of \(S_{100}-2S_{50}\), where \(S_n=1+2+\cdots+n\)?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 62Medium MathematicsWhat is the sum of the first (108) natural numbers?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 62Hard MathematicsIf \(S_n\) denotes the sum of the first \(n\) natural numbers, which of the following relations is always true?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 62Hard MathematicsWhat is the ratio of (S_{72}) to (S_{24})?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 62Hard MathematicsWhat is the sum of the first (83) natural numbers?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 62Hard MathematicsWhich of the following sets represents numbers obtained as the sum of the first n natural numbers (triangular numbers)?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 61Hard MathematicsFind the value of (S_{40}+S_{60}-S_{50}).Class 9Sequences and ProgressionsSum of first n natural numbersLevel 61Hard MathematicsWhat is the sum of the first (96) natural numbers?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 61Hard MathematicsWhat is the sum of the first (64) natural numbers?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 61Hard MathematicsFor which positive integers \(n\) is the sum \(S_n\) of the first \(n\) natural numbers exactly divisible by \(n\)?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 60Hard 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 MathematicsWhat is the ratio of the sums of the first (90) and first (60) natural numbers?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 60Hard MathematicsUnder which condition will the sum of the first n natural numbers be an even number?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 60Hard MathematicsWhat is the difference between the sums of the first (72) and first (48) natural numbers?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 60Hard MathematicsIf (S_n-S_{n-2}=101), what is the value of (S_n)?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 60Hard MathematicsWhich of the following statements about the sum of the first n natural numbers is correct?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 60Hard MathematicsIf \(S_n=1+2+3+\cdots+n\) is the sum of the first \(n\) natural numbers, which relation between \(S_{2n}\) and \(S_n\) is always true?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 60Hard MathematicsWhat remains when (1+2+\cdots+50) is subtracted from (1+2+\cdots+80)?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 60Hard