Sequence and Series Airthmetic and Geometric Progression Part-2

06) Find two numbers whose A.M. is 10

      and G.M. is 8

      (a) [10,10]

      (b) [16,4]

      (c) [18,2]

      (d) [14,6]

07) The first, second and seventh term

      of A.P. are in G.P. and the common

      difference is 2, the 2nd term of A.P.

      is:

      (a) 5/2

      (b) 2

      (c) 3/2

      (d) 1/2

08) A person pays Rs.975 in monthly

      instalments, each instalment is less

      than former by Rs. 5. The amount 

      of'first instalment is Rs. 100. In what

 time

      will the entire  amount be paid?

      (a) 26 months

      (b) 15 months

      (c) Both (a) & (b)

      (d) 18 months

09) Divide 144 into three parts which are in

      AP and such that the largest is twice,

      the smallest of three numbers will be:

      (a) 48

      (b) 36

      (c) 13

      (d) 32

10) In a G.P if the (p + q)th term is m and

      (p - q)th term is n, then the pth term is:

      (a) mn

      (b) sqrt(mn)

      (c) m²

      (d) n²

11) If the sum of n terms of an A.P. is

       (3n² – n) and its common diffence is 

       6, then its first term is:

       (a) 3

       (b) 2

      (c) 4

      (d) 1