Sequences

Sunday, 3 March 2019

10:02 PM

Sequences are a set of ordered terms that follow a pattern

 

Eg - terms of the sequence  defined by  for all

0, 1, 4, 9, 16, 25, 36, …

 

Eg - arithmetic progression  where

, , , ,

 

Eg - geometric progression  where

 

 

Properties of Summation

• 
• 
• 

 

 

 

Useful Things

 

AP
 

 

GP

 

 

Change of Summation

 

(Add, then remove // Remove, then add // Apply the offset, and remove from the subscript)

 

 

 

Product Notation