Question

What is the ${1025}^{th}$ term of the sequence $1,2,2,4,4,4,4,8,8,8,8,8,8,8,8,?$

Answer 1

Sequence is composed by powers of $2$ repeated $2^n$ times.

$2^0=1$ appears $1$ times

$2^1=2$ appears $2$ times

$2^2=4$ appears $4$ times

$2^3=8$ appears $8$ times

${1025}^{th}$ element is $1024$.