Question

If $t_n$ denotes $n^{th}$ term of the series 2+ 3+ 6 +11 +18... ,then $t_{50}$ is

• A. $2+{49}^2$
• B. $2+{48}^2$
• C. $2+{50}^2$
• D. $2+{51}^2$

Answer 1

Answer: (A)

$2+{49}^2$

General term of the series can be written as $t_n=2+(n-1{)}^2$
so 50th term is $t_{50}=2+{\left(49\right)}^2$