Question

Consider a sequence whose sum to $n$ terms is given by the quadratic function $S_n=4 n^2+6 n$.
For the given sequence the number 5050 is the

• A. $(101)^{\text {th }}$ term
• B. $(636)^{\text {th }}$ term
• C. $(656)^{\text {th }}$ term
• D. $(631)^{\text {th }}$ term

Answer 1

Answer: (D)

If $t_n=5050$
$\therefore 5050=8 n +2 \Rightarrow n =\frac{5048}{8}=631$