If 10n + 3.4n+2 + k is divisible by 9 for all n ∈ N, then the least

1.	If 10n + 3.4n+2 + k is divisible by 9 for all n ∈ N, then the least positive integral value of k is(A) 5 (B) 3 (C) 7 (D) 1
Answer» Answer is (A) 5 Correct option(A) Explanation: Given 10ⁿ + 3.4ⁿ⁺² +k is exactly divisible by 9, P(1) = 10¹+3.4¹⁺² +k = 2012 +k is exactly divisible by 9 then the value of k is 5.

If 10n + 3.4n+2 + k is divisible by 9 for all n ∈ N, then the least positive integral value of k is(A) 5 (B) 3 (C) 7 (D) 1

Answer»

Answer is (A) 5

Correct option(A)

Explanation:

Given 10ⁿ + 3.4ⁿ⁺² +k is exactly divisible by 9,

P(1) = 10¹+3.4¹⁺² +k = 2012 +k is exactly divisible by 9 then the value of k is 5.