#1 Consider the following sequence: 0, 1, 3, 4, 6, 9, 10, 13, 17, 18, 22, 27, 28 Give the next 4 numbers in the sequence. This sequence is generated using similarities between number systems of other bases (Bases<5). _____________________________________ 33, 39, 40, 46, (extra number): 53 -1,0,1,3,4,6,9,10,13,17,18,22,27,28,33,39,40,46,53 This is what the function would be with added numbers ^ Using this theoretical function made off of the first function due to the incompletion of the beginning portion, I will explain to you by using this theoretical function if that's alright. We will start from the 9,10,13,17,18,22,27,28 portion. Firstly, the function starts by adding 1 automatically. Now add 3. Simple. Now add 1 more to the previous number which you added after 1. So now add 4. You get 17, then add 1. 18. Now add the previous number before you had added 1. So add 4, now you have 22. Now add 1 to the previous number you have added; it would be 5 you are adding now. So now, 27, add 1 28. Now add 5 due to it being the previous number you have added before you added that 1. So add 5, 33. Now add 6, 39. Add 1, 40. Add 6, 46, add 7 53. Evidence: The beginning portion is a bit confusing but I will break it down how it works. Adding the -1 makes you see it a bit better. So, it would be -1+ 1 due to it being the 1 that always is added. So -1,0,1,3?? How'd it jump to 3? Well, using the pattern: -1+1 (1 always added) You get 0. Now the pattern starts with +1 you get 1. Then +2 due to adding 1 to the previous number which we add to 1- using this gives us 3. Then the pattern moves on.
This thread is very old and I can't remember what I did... I'll make a similar question on the new thread if you want