Series Questions in aptitude test

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For the following, find the next term in the series 

1.  6, 24, 60,120, 210
   a) 336 b) 366 c) 330 d) 660
   Answer : a) 336
   Explanation : The series is 1.2.3, 2.3.4, 3.4.5, 4.5.6, 5.6.7, .....          ( '.' means 
product)

2.  1, 5, 13, 25
 Answer : 41
  Explanation : The series is of the form   0^2+1^2, 1^2+2^2,...

3. 0, 5, 8, 17
   Answer : 24
   Explanation : 1^2-1, 2^2+1, 3^2-1, 4^2+1, 5^2-1

4. 1, 8, 9, 64, 25    (Hint : Every successive terms are related)
   Answer : 216
   Explanation : 1^2, 2^3, 3^2, 4^3, 5^2, 6^3

5. 8,24,12,36,18,54
   
   Answer : 27

6. 71,76,69,74,67,72
   Answer : 67  

7. 5,9,16,29,54
   Answer : 103
   Explanation : 5*2-1=9; 9*2-2=16; 16*2-3=29; 29*2-4=54; 54*2-5=103
8. 1,2,4,10,16,40,64 (Successive terms are related)
   Answer : 200
   Explanation : The series is powers of 2 (2^0,2^1,..).
          All digits are less than 8.  Every second number is in octal number system. 
          128 should follow 64. 128 base 10 = 200 base 8.

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