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Consecutive Sums

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

MathematicsFor the sum \(S_n\) of the first \(n\) natural numbers, which of the following relations is always true for \(n>1\)?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 61ExpertMathematicsIf S_y = 7381, what is the value of S_(y+2)?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 62HardMathematicsIf \(S_n-S_{n-1}=126\) and \(S_m=1953\), what is \(n-m\), where \(S_k=1+2+\cdots+k\)?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 62MediumMathematicsIf \(S_n=3240\), what is the value of \(S_{n+8}-S_n\), where \(S_k=1+2+\cdots+k\)?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 62MediumMathematicsIf \(S_n-S_{n-6}=621\), where \(S_k=1+2+\cdots+k\), what is the value of \(n\)?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 62MediumMathematicsThe value of \(S_n-S_{n-1}+S_{n-4}-S_{n-5}\) is 150. What is \(n\), where \(S_k=1+2+\cdots+k\)?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 62MediumMathematicsFor which value of \(n\) will \(S_n-S_{n-4}=282\), where \(S_n=1+2+\cdots+n\)?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 62MediumMathematicsHow much less is the sum of the first (99) natural numbers than the sum of the first (100) natural numbers?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 60HardMathematicsIf Sₙ − S₍ₙ₋₁₎ = 57, what is the value of Sₙ?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 60HardMathematicsLet \(S_n\) denote the sum of the first n natural numbers. What is \(S_{n+1}-S_n\) when the next natural number is included in the sum?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 59MediumMathematicsWhich of the following relations is always true for \(S_n\), the sum of the first \(n\) natural numbers, where \(n>1\)?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 61Medium