CAT 2024 Slot 3 X Maro G Strategy
Question 1 of 2
\( a \) and \( b \) are natural numbers, then the value of \( a + b \) is: \[ (a + b\sqrt{3})^2 = 52 + 30\sqrt{3} \]
Consider the sequence: \[ t_1 = 1, \quad t_2 = -1, \quad t_n = \left( \frac{n - 3}{n - 1} \right)t_{n - 2} \quad \text{for } n \geq 3. \] Find the value of the sum: \[ \frac{1}{t_2} + \frac{1}{t_4} + \frac{1}{t_6} + \cdots + \frac{1}{t_{2022}} + \frac{1}{t_{2024}}. \]