9.1 Summation Notation

Summation notation is an easy way to represent the addition of the terms of a finite, or restricted, sequence. It uses the Greek letter Sigma.
 

In summation notation the first term of the sequence being added goes below the Sigma while the last term being added goes above.


Below is an example of summation notation:
 

In this case, the first term being added is the third term, because there is a 3 below the Sigma. The last will be the seventh, due to the 7 above the Sigma. The total will be the sum of the 3rd, 4th, 5th, 6th and 7th terms of the sequence.


Product Notation

While summation notation is the addition of the terms of a sequence, product notation is the product of the terms of a sequence multiplied together.  It uses the Greek letter Pi.



Like summation notation, the first term in of the sequence being multiplied goes below the Pi while the last term goes above.

 

In this case the 5th, 6th and 7th terms will be multiplied together to find the product of this portion of the sequence.



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