# Show that 9^n+1 – 8n – 9 is divisible by 64, whenever ‘n’ is a positive integer.

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Show that 9n+1 – 8n – 9 is divisible by 64, whenever ‘n’ is a positive integer.

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We have

(1 + x)n + 1 = n + 1C0 + n + 1C1x