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SERIES
Series is the sum of the terms 
t1 + t2 + t3 + t4 +,…, + tn 
Note: The sum of the infinite sequence is an 
infinite series. A partial sum is the sum of the 
first n terms. A partial sum is also called the sum 
of finite series, and is denoted as sn , where n 
denotes the number of terms in the sum.
Example: 
For the sequence 9, 13, 17, 21, 25, 29, 33, 
37, find 
1. S4 
2. S1 
Solution: 
1. S4= 9+13+17+21 = 60 
2. S1=9+13+17+21+25+29+33 = 147

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Series

  • 2. Series is the sum of the terms t1 + t2 + t3 + t4 +,…, + tn Note: The sum of the infinite sequence is an infinite series. A partial sum is the sum of the first n terms. A partial sum is also called the sum of finite series, and is denoted as sn , where n denotes the number of terms in the sum.
  • 3. Example: For the sequence 9, 13, 17, 21, 25, 29, 33, 37, find 1. S4 2. S1 Solution: 1. S4= 9+13+17+21 = 60 2. S1=9+13+17+21+25+29+33 = 147