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11th Class Mathematics Sequence and Series Question Bank Sequence and Series (A.P., G.P. and H.P.)

  • question_answer
    Choose the correct choice in the following 11th term of the\[AP-3,-\frac{1}{2},2,\]....... is

    A)  28                               

    B)  22   

    C)  - 38                            

    D)  \[-48\frac{1}{2}\]

    Correct Answer: B

    Solution :

    (b): Here, \[a=-3,d=-\frac{1}{2}-(-3)=-\frac{1}{2}+3=\frac{-1+6}{2}=\frac{5}{2}\] \[\therefore {{a}_{1}}=a+(n-1)d;\,\,{{a}_{11}}=-3+(11-1)\frac{5}{2}\] \[=-\,3+10\times \frac{5}{2}=-\,3+25=22\]            


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