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Finite BBP-Type Series

A Family of BBP-Type Series in the Base of 729

(July 8, 2009)

 

A family of BBP-Type series in the base of 729 is found in terms of a special pattern of finite form such that it generates many other similar series.

Each BBP-Type Series is generated for each positive integer n, namely

.

 


Special Values

As n = 1, the above finite series gives

.

As n tends to infinity, we obtain a convergent series, which is

.


Other BBP-Type Series

Main SMS 


In-Text or Website Citation
Tue N. Vu, Finite BBP-Type Series, 07/08/2009, from Series Math Study Resource.

Mathematics is a path to display the authentic beauty of nature.

                                                                                                          (T.V.)