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