Q26 of 30 Page 70

If 10n + 3.4n+2 + k is divisible by 9 for all n ϵ N, then the least positive integral value of k is

Given; Given; P(n): 10n + 3.4n+2 + k is divisible by 9.

P(1) = 10 +3.43 + k = 202 + k


For this number to be divisible by 9; sum of its digits should be 9 or multiples of 9.


⇒ 2 + 2 + k = 9


∴ k = 5

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