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QJEEAdv07Ma6d50: JEE Advanced 2007 Mathematics - Class 11 JEEAdv07Ma6d50 Solution: Let denote the sum of first r terms of an arithmetic…

Let  Vr\,{V_r} denote the sum of first r terms of an arithmetic progression (A.P.) whose first term is r and the common difference is (2r-1). Let Tr= Vr+1− Vr−2   and   Qr= Tr+1− Tr for r=1,2,...{T_r} = \,{V_{r + 1}} - \,{V_r} - 2\,\,\,and\,\,\,{Q_r} = \,{T_{r + 1}} - \,{T_r}\,for\,r = 1,2,...

Which one of the following is a correct statement?

Multiple Choice Options

  • A Q1=  Q2=  Q3=...{Q_1} = \,\,{Q_2} = \,\,{Q_3} = ...
  • B Q1,  Q2,  Q3,...{Q_1},\,\,{Q_2},\,\,{Q_3},... are A.P. with common difference 5
  • C Q1,  Q2,  Q3,...{Q_1},\,\,{Q_2},\,\,{Q_3},... are A.P. with common difference 6
  • D Q1,  Q2,  Q3,...{Q_1},\,\,{Q_2},\,\,{Q_3},... are A.P. with common difference 11

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