perplexus.info :: Sequences : Summing up II

Summing up II (Posted on 2022-04-14)

S = 1 + 1/(1+2) + 1/(1+2+3) + … + 1/(1+2+3+4+…+n)

Find a simple expression for S

What is the limit of S when n ==> infinity ?

Submitted by Ady TZIDON

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Solution: (Hide)

S=2-2/(n+1)
S at infinity equals 2

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