A

①由$-3$，$9$，$-27$，$81\ldots \ldots$，得第$n$个数为$\left(-3\right)^{n}$，则$x=\left(-3\right)^{202}=3^{202}$；
②由$1$，$-3$，$9$，$-27\ldots \ldots$，得第$n$个数为$\left(-3\right)^{n-1}$，则$y=\left(-3\right)^{202-1}=-3^{201}$；
③由$-2$，$10$，$-26$，$82\ldots \ldots$，得第$n$个数为$\left(-3\right)^{n}+1$，则$z=\left(-3\right)^{202}+1=3^{202}+1$，
$\therefore x+6y+z$
$=3^{202}+6\times (-3^{201})+3^{202}+1$
$=2\times 3^{202}-6\times 3^{201}+1$
$=2\times 3^{202}-2\times 3^{202}+1$
$=1$，
故选：$A$.