Mark the Correct alternative in the following:
If 10n + 3 × 4n + 2 + λ is divisible by 9 for all n ∈ N, then the least positive integral value of λ is
Given 10n+3 ×4n+2+λ is divisible by 9
For n=1,
10 + 3 × 43 + λ
10 + 3 × 64 + λ
= 202 + λ
202 when divided by 9 gives remainder 4
For n=2,
102 + 3 × 44 + λ
=100 + 3 × 256 + λ
=868 + λ
868 when divided by 9 gives remainder 4
؞ λ = 4 + 1 = 5