Show that the sequence $1,2,3,4,5,6,7,8,9,1,0,1,1,1,2,1,3,1,4,1,5,1,6,1,7,1,8,1,9,2,0,2,1,\cdots$ isn't periodic

elementary-number-theory

Solution 1:

$C_{10}$ contains arbitrarily long sequences of zeroes, but is not zero.

Related

Find last 3 digits of $ 2032^{2031^{2030^{\dots^{2^{1}}}}}$
Shortest distance from point to curve
Show that the supremum of a collection of lower semicontinuous function is lower semicontinuous
Bounded linear operator maps norm-bounded, closed sets to closed sets. Implies closed range?
Proving that Ring of Complex Entire functions is neither Artinian nor Noetherian
Why is "glide symmetry" its own type?
Topological restrictions on cardinality
Prove $\sum_{k=0}^n k{n\choose k}^2 = {n{2n-1\choose n-1}}$
Can locally "a.e. constant" function on a connected subset $U$ of $\mathbb{R}^n$ be constant a.e. in $U$?
Period of repeating decimals
A triangular representation for the divisor summatory function, $D(x)$
Complement of a bounded set $B$ in $\mathbb{R}^{n}$ has exactly one unbounded component.