1. ParthKohli

If it was not for the 101, it'd definitely have been 9.

2. cwrw238

yup

3. cwrw238

hint: its not a 'conventional' series with a formula for nth term

4. asnaseer

I think I know this...

5. mathslover

is it 5 ? my quess

6. mathslover

guess *

7. asnaseer

in different bases :)

8. asnaseer

so it should be 1 I believe

9. cwrw238

yes and the next one is 5 also then 5,5,5.......

10. mathslover

yey .... but I only guessed I will like to hear the right soln

11. asnaseer

101 = 5 in base 2 12 = 5 in base 3 11 = 5 in base 4 10 = 5 in base 5 5 = 5 in base 6

12. cwrw238

i think asnaseer has it

13. asnaseer

typo from me above 5 NOT 1

14. cwrw238

right!

15. mukushla

5,5,5,5,...

16. hartnn

*nice question, i was thinking of different bases but still could not get this one.

17. cwrw238

jimmyrep gave me this one

18. amistre64

$\large -\frac{\left(\frac{89(n-1.5)}{|n-1.5|}+\frac{(n-2.5)}{|n-2.5|}+\frac{n-3.5}{|n-3.5|}+5\frac{n-4.5}{|n-4.5|}+106\frac{n-5.5}{|n-5.5|}\right)}{2}$ i can get; ...,5,-101,-101,-101 :)