If `t_n` denotes the nth term of the series `2+3+6+11+18+...`then ` t_(50)` a.`49^2-1` b. `49^2` c. `50^2+1` d. `49^2+2`

Options

A. `49^2-1`
B. `49^2`
C. `50^2+1`
D. `49^2+2`

Explanation

To find the value of \( t_{50} \) in the series \( 2 + 3 + 6 + 11 + 18 + \ldots \), we first need to identify a pattern in the series.

1. **Identify the terms of the series**:
- The series starts with:
- \( t_1 = 2 \)
- \( t_2 = 3 \)
- \( t_3 = 6 \)
- \( t_4 = 11 \)
...