# The next term is?

A sequence of integers between 0 and 9 is as follows:

5, 8, 1, 0, 1, 8, 6, 2, 4, ?

What is the next term?

Hint:

How familiar are you with modular arithmetic?

• Is 0 between 1 and 10? – msfoster Nov 14 '17 at 11:29
• Not sure how you can go from 0 to 1 with modular arithmetic? – Emma - PerpetualJ Aug 21 '18 at 21:09

Well I have an Idea but I'm not sure if this is correct:

we have 5 +3 8 -7 1 -1 0 +1 1 +7 8 -2 6 -4 2 +2 4

If we now grab the italic numbers we have:

+3-7-1+1+7-2-4+2 = -1

If we take the row:

5, 8, 1, 0, 1, 8, 6, 2, 4, and add this -1 we get the number 3

• Please hide answers so others have a chance to try it. – Jason V Nov 15 '17 at 14:12
• Yeah i wanne to but i didnt find out how to ty for your correction – Pascal Hurni Nov 15 '17 at 14:13
• Try thinking of the differences as additions rather than additions or subtractions. – Andrew Neate Nov 15 '17 at 14:43

The next term is 8
Take 0 as middle number and compare left side and right side:
7,3,1,5,8,1,0,1,8,6,2,4, 8

• Could you explain this answer a bit more? – Gareth McCaughan Nov 14 '17 at 11:32
• This seems to be a guess as to the preceding numbers that aren't supplied. – Emma - PerpetualJ Aug 21 '18 at 21:05