Question

Wt number should come 339,733,1327,2201,3371

Answer 1

$\textbf{Answer :-}$

339,733,1327,2201,3371, $\textbf{4917}$

The next number is $\textbf{4917}$

The numbers in the series are obtained when the numbers with difference of 2 are cubed and added or substracted by 4 alternatively.

$\textbf{Logic:-}$

$\tt{\rightarrow {7}^{3} - 4 = 339 }$

$\tt{\rightarrow {9}^{3} + 4 = 733}$

$\tt{\rightarrow {11}^{3} - 4 = 1327}$

$\tt{\rightarrow {13}^{3} + 4 = 2201 }$

$\tt{\rightarrow {15}^{3} - 4 = 3371 }$

$\textbf{Explaination :-}$

$\tt{\rightarrow {7}^{3} - 4 = 339 }$

$\tt{\Rightarrow343 - 4 = 339}$

$\tt{\Rightarrow339 = 339}$

$\tt{\rightarrow {9}^{3} + 4 = 733}$

$\tt{\Rightarrow729 + 4 = 733}$

$\tt{\Rightarrow733 = 733}$

Same goes for the further numbers.

According to the above logic :-

The number which will be cubed will be 15+2 = 17

And will be added by 4

$\tt{\rightarrow {17}^{3} + 4 = 4917}$

$\tt{\Rightarrow4913 + 4 = 4917}$

$\tt{\Rightarrow4917 = 4917}$

$\therefore$The next number in the given series is $\textbf{4917}$