Question

Complete the following Series $2,9,28,?,126,217,344.$

Answer 1

Find the missing term by observing the pattern of the series.

Observe the pattern of the series;

$\begin{array}{l}{1}^3+1=2\\ 2^3+1=9\\ 3^3+1=28\\ ...+..=...\\ 5^3+1=126\\ 6^3+1=217\\ 7^3+1=344\end{array}$

So the missing term of the series;

$4^3+1=65$

Hence the complete series is $2,9,28,65,126,217,344.$