Complete: 5, 25, 61,113, 181, 265

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Leo

  • May 26th, 2005
 

365

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LG

  • Aug 23rd, 2005
 

365 is the correct answer 
5 25 61 113 181 265 ---> 365 
20 36 52 68 84 --> 100 
16 16 16 16 -> 16

Visitor

  • Jan 30th, 2007
 

365Difference between two consecutive numbers is increasing by 16. 25 - 5 = 2061 - 25 = 36 (which is equal to 20 + 16)113 - 61 = 52 (which is equal to 36 + 16)181 - 113 = 68 (which is equal to 52 + 16)265 - 181 = 84 (which is equal to 68 +16)Thus the next number must be 100 (84 + 16 = 100) more than 265, that is 265 +100 = 365

jene2in

  • May 31st, 2008
 

4(1) + 1    = 5,         >>>>    the product term is calculated as 1(1+0) = 1,
4(6) + 1    = 25,       >>>>                                                         2(2+1) = 6,
4(15) + 1  = 61,       >>>>                                                         3(3+2) = 15,
4(28) + 1  = 113      >>>>                                                         4(4+3) = 28,
4(45) + 1  = 181      >>>>                                                         5(5+4) = 45,
4(66) + 1  = 265      >>>>                                                         6(6+5) = 66,
4(91) + 1  = 365      >>>>                                                         7(7+6) = 91

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ANother answer is 425.

1*1  +  2*2   =  5
3*3  +  4*4   =  25
5*5  +  6*6   =   61
7*7  +  8*8   =   113
9*9  + 10*10 =  181
11*11 + 12*12 = 265
13*13  +  14*14  = 425  (Answer)

Nitin

  • Sep 22nd, 2014
 

The series is:
5^2 + 6^2 = 61
7^2 + 8^2 = 113
9^2 + 10^2 = 181
and so on.

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