Question

Find the next term of the sequence $3,10,20,33,49,68,\_\_\_.$

Answer 1

Find the next term of the given sequence.

$\begin{array}{rcl}& & 3,10,20,33,49,68,\_\_\_.\end{array}$

$\begin{array}{rcl}3+7& =& 10\\ 10+10(+3)& =& 20\\ 20+13(+3)& =& 33\\ 33+16(+3)& =& 49\\ 49+19(+3)& =& 68\\ 68+22(+3)& =& 90\end{array}$

$\therefore$The next term of the sequence$\begin{array}{l}3,10,20,33,49,68\end{array}$ is$90$