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AP EAMCET20225 Jul 2022Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If ^4 ^2 = _ n=0 ^ a_ 2 n 2 n , then the least n for which a_ 2 n =0 is

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

A. 1

Step-by-step solution

Given, ^4 ^2 = _ n=0 ^ a_ 2 n 2 n aligned & ( ^2 )^2 ^2 = _ n=0 ^ a_ 2 n 2 n & (1- ^2 )^2 ^2 = _ n=0 ^ a_ 2 n 2 n & (1+ ^4 -2 ^2 ) ^2 = _ n=0 ^ a_ 2 n 2 n aligned ^2 + ^4 ^2 -2 ^4 = _ n=0 ^ a_ 2 n 2 n On comparing both sides, we get minimum value of n is 1 .

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