Question

Find the number of digits ${1025}^{th}$ term of the sequence $1,2,2,4,4,4,4,8,8,8,8,8,8,8,8$

Answer 1

The 1st position in the sequence is $1$ and occurs one time.

The 2nd position in the sequence is $2$ and occur twice

The 4th position in the sequence is $4$ and occurs four times

All the member in the sequence are power of $2$

So, $1024$th position in the sequence would be $1024$ and would occur $1024$ times

$1025$th term in the sequence would be $1024$