Mindyard | Consider the sequence t 1 = 1 , t 2 = - 1 , and t n = n - 3 n - 1 t n - 2 for n ≥ 3 . Then the value of the sum: 1 t 2 + 1 t 4 + 1 t 6 + ⋯ + 1 t 2022 + 1 t 2024 is: 1024144, 1023132, 1026169, 1022121

$Consider the sequence t_{1} = 1, t_{2} = - 1, and t_{n} = \frac{n - 3}{n - 1} t_{n - 2} for n \geq 3 . Then the value of the sum: \frac{1}{t_{2}} + \frac{1}{t_{4}} + \frac{1}{t_{6}} + \dots + \frac{1}{t_{2022}} + \frac{1}{t_{2024}} is:$

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1024144

1023132

1026169

1022121

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$Consider the sequence t_{1} = 1, t_{2} = - 1, and t_{n} = \frac{n - 3}{n - 1} t_{n - 2} for n \geq 3 . Then the value of the sum: \frac{1}{t_{2}} + \frac{1}{t_{4}} + \frac{1}{t_{6}} + \dots + \frac{1}{t_{2022}} + \frac{1}{t_{2024}} is:$

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