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Guess the next number in this series - 13113, 83049, 8037, 99123, ?

+1 vote
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Guess the next number in this series - 13113, 83049, 8037, 99123, ?
posted Jul 4, 2016 by Tejas Naik

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1 Answer

+1 vote

15651 (not easy to explain)
If this answer is the wanted one, the logic behind the question is questonable..

answer Jul 22, 2017 by Yücel Özcan
First of all thank you for trying this problem out ! :D. This series I made so that it would be mind boggingly difficult.
In fact the answer to this series ends in a non integer number.
The answer is 4188.2958 (8 is were I rounded it off) This also where I can't continue the series because the series needs the last 2 digits of the previous terms along with the sum of all its digits
For ex from 13113 I take 1+3+1+1+3 = 9
13 (last 2 digit of 13113) + 9 = 22
Then 22 - 3 = 19
Then
13113 × (19/3) = 83049

8+3+0+4+9 = 24
49 - 24(sign changes alternatively) = 25 +(here as well) (3×2) = 31
83048 × (3/31) = 8037

8+0+3+7 = 18
37 + 18 = 55
= 55 - (3×2×3) = 37
8037 × (37/3) = 99123

9+9+1+2+3 = 24
23 - 24 = -1
-1 + (3*2*3*4) = 71
= 99123 × (3/71) = 4188.2958
...