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10th Class Mathematics Arithmetic Progressions Question Bank Arithmetic Progressions

  • question_answer
                Four numbers are inserted between the numbers 4 and 39 such that an A.P. results. Find the biggest of these four numbers.

    A) 33                               

    B) 31                   

    C)        32                   

    D)         30                  

    Correct Answer: C

    Solution :

    Series after the insertion of terms between 4 and 39 is 4, \[{{a}_{1}},{{a}_{2}},{{a}_{3}},{{a}_{4}},39\] Now, \[39=4+5d\] \[\Rightarrow \] \[35=5d\] \[\Rightarrow \] \[d=7\] \[\therefore \] \[{{a}_{4}}=4+4\times 7=32\]


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