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Name the sequence (Posted on 2018-09-17) Difficulty: 2 of 5
Let the increasing sequence of integers D: d1, d2, d3, ...dn-1, dn... represent the sequence of consecutive differences of another sequence T: t1, t2, t3, ...tn-1, tn.

Given t1=0 , and tk-tk-1=dk-1=k, provide definition and formula for the sequence T.

No Solution Yet Submitted by Ady TZIDON    
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soln | Comment 1 of 5
I assume T is also infinite (..., tn, ...) 
with d_k-1 = k
D: 2, 3, 4, 5,...

so, adding

T: 0, 2, 5, 9, 14...

so tn = sum[{i=2:n} i ] = sum[ {i=1:n} i ] -1 = n(n+1)/2 -1

  Posted by Steven Lord on 2018-09-17 08:58:52
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