### Uzdevums:

6p.
1) Nosaki virknes ${2}^{n}$ periodu pēc moduļa $$9$$.
2) Aprēķini ${2}^{106}\phantom{\rule{0.147em}{0ex}}\left(\mathit{mod}\phantom{\rule{0.147em}{0ex}}9\right)$.

Papildini doto risinājumu!

${2}^{0}\equiv i\phantom{\rule{0.147em}{0ex}}\left(\mathit{mod}\phantom{\rule{0.147em}{0ex}}9\right)$
${2}^{1}\equiv i\phantom{\rule{0.147em}{0ex}}\left(\mathit{mod}\phantom{\rule{0.147em}{0ex}}9\right)$
${2}^{2}\equiv i\phantom{\rule{0.147em}{0ex}}\left(\mathit{mod}\phantom{\rule{0.147em}{0ex}}9\right)$
${2}^{3}\equiv i\phantom{\rule{0.147em}{0ex}}\left(\mathit{mod}\phantom{\rule{0.147em}{0ex}}9\right)$
${2}^{4}\equiv i\phantom{\rule{0.147em}{0ex}}\left(\mathit{mod}\phantom{\rule{0.147em}{0ex}}9\right)$
${2}^{5}\equiv i\phantom{\rule{0.147em}{0ex}}\left(\mathit{mod}\phantom{\rule{0.147em}{0ex}}9\right)$
${2}^{6}\equiv i\phantom{\rule{0.147em}{0ex}}\left(\mathit{mod}\phantom{\rule{0.147em}{0ex}}9\right)$

Virkne ${2}^{n} \left(\mathit{mod}\phantom{\rule{0.147em}{0ex}}9\right)$ ir periodiska ar perioda garumu .

${2}^{106}\equiv i\phantom{\rule{0.147em}{0ex}}\left(\mathit{mod}\phantom{\rule{0.147em}{0ex}}9\right)$.

Atsauce:

Materiālu sagatavoja Mg. math. Laima Baltiņa, JTV skolotāja
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