Thomas O'Sullivan's Mathematics & Physics Pages

The Sigma notation for summation of series.

The sum of a sequence can be written as:


The following formulae should be learned :

Note: When using these formulae the upper and lower limits are often left out.


Sigma and Geometric Progressions


Sigma and Surds

Note in this example and the next one, un may have to be manipulated (L.C. Paper 1 1995 q. 4(b)) to give the forms shown,

This is a telescoping series.

Sigma and Partial Fractions

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© Thomas G. O'Sullivan 1999