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Key ideas in arithmetic sequences and series

Created by

Joshua De leon
Joshua De leon
Philippines

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Key ideas in arithmetic sequences and series

by Joshua De leon
1

An is a list of numbers in which each term is formed by adding a constant amount called the to the previous term . If a1 is the and d is the common difference , the is a_n = a1 + ( n - 1 ) d . A related idea is the , which is the sum of the terms of the sequence . The partial sum S_n can be found using S_n = n / 2 ( a1 + a_n ) or S_n = n / 2 [ 2a1 + ( n - 1 ) d ] .

 
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