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The valuc of f(4)-f(3) is

Options

  1. Af(2)+ ² f(1)+ ³ f(1)
  2. Bf(3)+ ² f(2)+ ³ f(1)
  3. Cf(2)+ ² f(1)+ ³ f(0)
  4. DNone of the above

Correct answer

A. f(2)+ ² f(1)+ ³ f(1)

Step-by-step solution

f(4)-f(3)= f(3)= [f(2)+ f(2)][ f(2)=f(3)-f(2)]= f(2)+ ² f(2)= f(2)+ ²[f(1)+ f(1)]= f(2)+ ² f(1)+ ³ f(1)

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