Question 168
Using only the digits $1,2,3,4$ and $5$, Peri constructed a sequence as follows: one $1$, two $2$, three $3$, four $4$, five $5$, six $1$, seven $2$ and so on; Below we see the first terms of this sequence:
$1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,1,1,1,1,1,1,2,2,2, \ldots$
What is the $100^{\circ}$ term of this sequence?
$1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,1,1,1,1,1,1,2,2,2, \ldots$
What is the $100^{\circ}$ term of this sequence?