2. Solved Papers
  3. BCECE Engineering

BCECE Engineering BCECE Engineering Solved Paper-2004

  • question_answer
    If \[a,b,c\]are in AP, then \[{{2}^{ax+1}},{{2}^{bx+1}},{{2}^{cx+1}},x\ne 0\]area in:

    A)  AP                        

    B)         GP only when \[x>0\]

    C)  GP if \[x<0\]

    D)  GP

    Correct Answer: D

    Solution :

    Since, a, b, c are in AP and let d be the common difference of AP. \[\therefore \]  \[b=a+d,c=a+2d\] \[\therefore \]  \[{{2}^{bx+1}}={{2}^{(a+d)x+1}}={{2}^{ax+1}}{{.2}^{dx}}\] and        \[{{2}^{cx+1}}={{2}^{(a+2d)x+1}}\] \[={{2}^{ax+1}}{{({{2}^{dx}})}^{2}}\] \[\therefore \] These terms are in GP for all values of \[x.\]


You need to login to perform this action.
You will be redirected in 3 sec spinner