The first 6 terms of a sequence are (0,1,2,3,4,5). Each subsequent term is the last digit of the sum of the six previous terms. In other words, the seventh term is 5, since 0+1+2+3+4+5 = 15. So, the eight term is 0, since 1+2+3+4+5+5 = 20. 
Can the sub-sequence 13579 occur anywhere in this sequence?
![serveimage.png](https://steemitimages.com/DQmciN4HSaFAhrPbufnZXc4PmhWV5HiCdiQr2p36U5YEBqd/serveimage.png)