Basic Concept of Differential and Integral Calculus Part-3

12) Sum of series 1+ (4/5) + (7/5²) + (10/5³)

         +.........∞ is 

        (a) 15/36

        (b) 15/36

       (c) 35/16

       (d) 15/16

13) Divide 30 into five parts in A.P. such

      that the first and last parts are in the 

      ratio 2:3 :

     (a) 24/5, 27/5, 6, 33/5, 36/5

     (b) 6, 36/5, 33/5, 24/5, 27/5

     (c) 27/5, 24/4, 36/5, 33/5, 6

     (d) 6, 24/5, 27/5 , 33/5, 36/5m of 

14) Find three numbers in G.P. such 

      that their sum is 21, and the sum

      of their squares is 189:

     (a) 5, 7, 9

     (b) 3, 7, 11

     (c) 3, 6, 12

     (d) 4, 8, 9

15) If the pth term of a G.P. is x and the qth 

      term is y, then find the nth term:

      (a) [ x^(n-q) / y^(n-q)]

      (b)[ x^(n-q) / y^(n-q)]^{(n – q)}

         ^{(c) 1}

        ^(d) [ x^(n-q) / y^(n-q)]^{1/p -q}

^{16) Insert 4 A.M.'s between 3 and 18 :}

       ^{(a) 12, 15, 9, 6}

       ^{(b) 6, 9, 12, 15}

       ^{(c) 9, 6, 12, 15}

       ^{(d) 15, 12, 9, 6}