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Manipal MET2018MathematicsBinomial Theorem

The statement P(n)=9^n-8^n , when divided 8 , always leaves the remainder

Options

  1. A1
  2. B2
  3. C3
  4. D7

Correct answer

A. 1

Step-by-step solution

Given, P(n)=9^n-8^n P(1)=9-8=1 P( l )- l =0 , which is divisible by 8 . Now, P(2)=9^2-8^2=17 When divided by 8 , it leaves the remainder 1 .

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