Question:medium
Consider the sequence\( t_1 = 1, t_2 = -1 and t_n = \left( \frac{n-3}{n-1} \right) t_{n-2} for n \ge 3. \)Then, the value of the sum \(\frac{1}{t_2}\) + \(\frac{1}{t_4}\) + \(\frac{1}{t_6}\) + ……. + \(\frac{1}{t_{2022}}\) + \(\frac{1}{t_{2024}}\), is
Consider the sequence\( t_1 = 1, t_2 = -1 and t_n = \left( \frac{n-3}{n-1} \right) t_{n-2} for n \ge 3. \)Then, the value of the sum \(\frac{1}{t_2}\) + \(\frac{1}{t_4}\) + \(\frac{1}{t_6}\) + ……. + \(\frac{1}{t_{2022}}\) + \(\frac{1}{t_{2024}}\), is
Updated On: Nov 24, 2025
- -1024144
- -1023132
- -1026169
- -1022121
Top Questions on Sequence and Series
- Series Expansion $ n^6 + \frac{1}{2} n^4 + \frac{1}{3} n^2 + \cdots + \frac{1}{n} C_n + 1 \quad n \to \infty $
- MHT CET - 2025
- Mathematics
- Sequence and Series
Find the missing letter/number
- SNAP - 2024
- Logical Reasoning
- Sequence and Series
- Find the correct number that will complete the series: 14, 26, 36, 44, 50, ____________, 56
- SNAP - 2024
- Logical Reasoning
- Sequence and Series
- The sum of the infinite series \( \frac{1}{5} \left( \frac{1}{5} - \frac{1}{7} \right) + \left( \frac{1}{5} \right)^2 \left( \frac{1}{5} - \frac{1}{7} \right)^2 - \left( \frac{1}{7} \right)^2 + \left( \frac{1}{5} \right)^3 \left( \frac{1}{5} - \frac{1}{7} \right)^3 + \dots \) is equal to
- CAT - 2024
- Quantitative Aptitude
- Sequence and Series
- Want to practice more? Try solving extra ecology questions todayView All Questions