Mark the Correct alternative in the following:

If 10ⁿ + 3 × 4^{n + 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