Question

9,65,217,513,1001,_____​

Answer 1

Answer:

9,65,217,513,1001,_____

Answer 2

Series

The given series is $9, 65, 217, 513, 1001 ,\_\_$

We can write ,

$9=2^3+1\\\\65=(2+2)^3+1=4^3+1\\\\217=(2+2+2)^3+1=6^3+1\\\\513=(2+2+2+2)^3+1=8^3+1\\\\1001=(2+2+2+2+2)^3+1=10^3+1$

So, for the next term in the series, it will be,

$(2+2+2+2+2+2)^3+1=12^3+1=1728+1=1729$

Hence, the required number is 1729.