CATAlgebra > Medium2:32: 32:33:23:23:23:43:43:44:34: 34:3✅ Correct Option: 1Related questions:CAT 2024 Slot 3Consider the sequence t1=1t_1 = 1t1=1, t2=−1t_2 = -1t2=−1 and tn=(n−3n−1)tn−2t_n = \left(\frac{n-3}{n-1}\right) t_{n-2}tn=(n−1n−3)tn−2 for n≥3n \ge 3n≥3. The, the value of the sum 1t2+1t4+1t6+⋯+1t2022+1t2024\frac{1}{t_2} + \frac{1}{t_4} + \frac{1}{t_6} + \dots + \frac{1}{t_{2022}} + \frac{1}{t_{2024}}t21+t41+t61+⋯+t20221+t20241 isCAT 2022 Slot 3The average of all 3-digit terms in the arithmetic progression 38,55,72,…38, 55, 72, \dots38,55,72,…, isCAT 2019 Slot 2The number of common terms in the two sequences: 15,19,23,27,.......,41515, 19, 23, 27,......., 41515,19,23,27,.......,415 and 14,19,24,29,........,46414, 19, 24, 29,........,46414,19,24,29,........,464 is