Sequence and Series Airthmetic and Geometric Progression Part-1

01) A man employed in a company is 

      promised a salary of Rs.3000 every

      month for the first year and an increment

      of Rs. 1000 in his monthly salary every

      succeeding year. How much does the man 

      earn from the company in 20 years?

     (a) Rs. 30,00,000

     (b) Rs. 27,50,000

     (c) Rs. 19,10,000

     (d) Rs. 7,90,000

02) If G Geometric Mean between two 

      numbers a and b, then value of

           1        +        1      is equal to

      G^{2 _} b²         G² - a²

       (a)  G² 

     (b) 3 G² 

     (c) 1/ G² 

     (d) 2/ G² 

03) The sum of all natural numbers 

       between 100 and 1000 which are

       multiple of 5 is:

       (a) 98,450

       (b) 96,450

       (c) 97,450

       (d) 95,450

04) Find the product of :

       (243),(243) ^1/6,(243)^1/36, ........∞

       (a) 1024

       (b) 27

       (c) 729

       (d) 246

05) Find the sum to n terms of the series:

        7+77+777+..................to n terms:

       (a) 7/9(10 ^{n+1 _} 10) - 7n/9

       (b) 7/9(10 ^{n+1 _} 10) + 7n/9 

       (c) 7/81(10 ^{n+1 _} 10) - 7n/9

     (b) 7/81(10 ^{n+1 _} 10) + 7n/9