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AP EAMCET201822 Apr 2018Morning ShiftMathematicsTrigonometric EquationsActual

If the general solution of 5 x= 2 x is of the form a_n 2 for n=0, 1, 2, . . , then a_n=

Options

  1. A2 n 5+2(-1)^n
  2. B2 n+(-1)^n 5+2(-1)^n
  3. C2 n+1 5+2(-1)^n
  4. D2 n-1 5+2(-1)^n

Correct answer

B. 2 n+(-1)^n 5+2(-1)^n

Step-by-step solution

Given, aligned & 5 x= 2 x & 5 x= ( 2 -2 x ) aligned array lrl & 5 x=n +(-1)^n ( 2 -2 x ) & 5 x=n +(-1)^n 2 -(-1)^n 2 x & 5 x+(-1)^n(2 x)= 2 2 n+(-1)^n & x (5+(-1)^n 2= 2 (2 n+(-1)^n ) . & x= 2 ( 2 n+(-1)^n 5+2(-1)^n ) x=a_n 2 array So, a_n= 2 n+(-1)^n 5+2(-1)^n

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