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10th Class Mathematics Arithmetic Progressions Question Bank Arithmetic Progressions

  • question_answer
    Which term of the A.P. \[5,2,-1,\]....... is\[-22\]?                              

    A) 9                     

    B)        11       

    C) 10                   

    D)         7        

    Correct Answer: C

    Solution :

    Given A.R is \[5,2,-1,\] ...... \[\Rightarrow \]   \[a=5,\,\,d=2-5=-3\] \[{{T}_{n}}=-22\] \[\Rightarrow \] \[a+(n-1)d=-22\] \[\Rightarrow \] \[5+(n-1)\,(-3)=-22\] \[\Rightarrow \] \[n=10\] Hence, 10th term of the given A.P. is\[-22\].


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