Q. 3

# Mark the Correct

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

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