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HomeCAT PYQsCAT 2024 Slot 3 Question PaperConsider the sequence $$t_1 = 1, t_2 = -1$$ and $$t_n =…
CAT 2024 · Slot 3Quantitative AbilityProgressions and SeriesMEDIUM+3 / −1

Consider the sequence t1=1,t2=−1t_1 = 1, t_2 = -1t1​=1,t2​=−1 and tn=(n−3n−1)tn−2t_n = \left(\cfrac{n - 3}{n - 1}\right)t_{n - 2}tn​=(n−1n−3​)tn−2​ for n≥3n \geq 3n≥3. Then, the value of the sum 1t2+1t4+1t6+.......+1t2022+1t2024\cfrac{1}{t_2} + \cfrac{1}{t_4} + \cfrac{1}{t_6} + ....... +\cfrac{1}{t_{2022}} + \cfrac{1}{t_{2024}}t2​1​+t4​1​+t6​1​+.......+t2022​1​+t2024​1​, is

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