Let the increasing sequence of integers D: d
1, d
2, d
3, ...d
n-1, d
n...
represent the sequence of consecutive differences of another sequence T: t
1, t
2, t
3, ...t
n-1, t
n.
Given t1=0 , and tk-tk-1=dk-1=k, provide definition and formula for the sequence T.
(In reply to
re: Sequence Name by Charlie)
yes - that was my solution, still based on the Triangular numbers. Had the problem been set up a little differently, starting with index zero or else:
tk+1-tk=dk=k
it would have been exactly the Triangle Numbers.
re(2): Sequence Name
