CAT 2021 · Slot 3Quantitative AbilityProgressions and SeriesMEDIUM+3 / −1

Consider a sequence of real numbers, $x_{1},x_{2},x_{3},...$ such that $x_{n+1}=x_{n}+n-1$ for all $n\geq1$ . If $x_{1}=-1$ then $x_{100}$ is equal to

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CAT 2021 · Slot 3Quantitative AbilityProgressions and SeriesMEDIUM+3 / −1

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Attempt CAT 2021 Slot 3 Question Paper with real exam interface and instant grading.

Consider a sequence of real numbers, x1,x2,x3,...x_{1},x_{2},x_{3},...x1​,x2​,x3​,... such that xn+1=xn+n−1x_{n+1}=x_{n}+n-1xn+1​=xn​+n−1 for all n≥1n\geq1n≥1. If x1=−1x_{1}=-1x1​=−1 then x100x_{100}x100​ is equal to