CLAT Sample Paper CLAT Sample Paper-1

  • question_answer
    How many terms of the series 20+16 +12 +... amounts to 48?

    A)  3                  

    B)  5

    C)  8                  

    D)  Both 'a' and 'c'

    Correct Answer: D

    Solution :

    \[{{S}_{n}}=\frac{n}{2}\,[2a+(n-1)d]\] \[\Rightarrow \] \[48=\frac{n}{2}\,[\,2\times 20+(n-1)(-4)]\] \[\Rightarrow \] \[96=40n-4{{n}^{2}}+4n\] \[\Rightarrow \] \[{{n}^{2}}-11n+24=0\] \[\Rightarrow \] \[(n-8)\,(n-3)=0\] \[\therefore \] \[n=8\] or 3


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