Question

what is the conjecture of this sequences:
1, 3, 6, 10, 15, 21.......
1, 2, 4, 8, 16, 32…..
1, 2, 6, 24, 120, 720.......

Answer 1

not sure what you mean by conjecture

Answer 2

An opinion or conclusion formed on the basis of incomplete information.

Answer 3

ok
the first sequence of numbers is formed by starting from 1 and adding 2,3,4,5,6 etc to each term to get the next one

- is that what you are looking for?

Answer 4

yes

Answer 5

ok
second term start form 1 and keep multiply by 2 to get next term

Answer 6

the third sequance starts from 1 again and each term is multiplied by 2,3,4,5,6 etc to get hte next term