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AP EAMCET202124 Aug 2021Evening ShiftMathematicsFunctionsActual

If 1^4+2^4+3^4+ +n^4=f(n) (1^2+2^2+ +n^2 ), n N , then f(4) is equal to

Options

  1. A58 5
  2. B57 5
  3. C59 5
  4. D56 5

Correct answer

C. 59 5

Step-by-step solution

We have, 1^4+2^4+3^4+ +n^4=f(n) (1^2+2^2+3^2+ +n^2 )f(n)= 1^4+2^4+3^4+ +n^4 1^2+2^2+3^2+ n^2 f(4)= 1^4+2^4+3^4+4^4 1^2+2^2+3^2+4^2 = 1+16+81+256 1+4+9+16 f(4)= 354 30 = 59 5

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