1, 2, 4, 7, 11, 16, 22, 29, 37, 46, 56, 67, 79, 92, 106, 121, 137, ... With 0 cuts, we .... 7+ 4=11. read more
Hogben's central polygonal numbers, also called the Lazy Caterer's sequence: it’s the maximal number of pieces formed when slicing a pancake with n cuts. read more
You must have seen that the first differences were 2,3,4,5,6 so a reasonable expectation is that the next difference and the next term are 7 and 29 respectively. That 7th term = 29 is therefore the first term of your progression, 2, plus the sum of the first 6 differences 2+3+4+5+6+7. read more