#### Icebreaker

[tex]n_1 = 1[/tex]

[tex]a_1 = 1[/tex]

[tex]n_i = i[/tex]

[tex]a_i = 8 a_{i-1} + 1[/tex]

Is it possible to show that [tex]a_i - n_i[/tex] is a multiple of 7 for all [tex]i > 1[/tex]?

[tex]a_1 = 1[/tex]

[tex]n_i = i[/tex]

[tex]a_i = 8 a_{i-1} + 1[/tex]

Is it possible to show that [tex]a_i - n_i[/tex] is a multiple of 7 for all [tex]i > 1[/tex]?

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