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Note on Geometric Series

Published online by Cambridge University Press:  31 October 2008

R. J. T. Bell
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The formula for the sum of n terms of the geometric series

where T1 is the first term and Tn+1 the term immediately succeeding the last to be summed This form is useful for finding the sum of a closed geometric series without first finding the number of terms. Thus

since the terms of the series which succeed 32 and a19 are respectively 64 and a21.

Type
Research Article
Information
Edinburgh Mathematical Notes , Volume 6 , December 1910 , pp. 62
Copyright
Copyright © Edinburgh Mathematical Society 1910