Question:Consider the sequence t1 = 1, t2 = -1 and tn = ((n-3)/(n-1)) * t(n-2) for n &ge; 3.Then, the value of the sum 1/t2 + 1/t4 + 1/t6 + ... + 1/t2022 + 1/t2024 is ____.

CATKing Student

Question:
Consider the sequence t1 = 1, t2 = -1 and tn = ((n-3)/(n-1)) * t(n-2) for n ≥ 3.
Then, the value of the sum

1/t2 + 1/t4 + 1/t6 + ... + 1/t2022 + 1/t2024

is ____.

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