SEQUENCES OF REAL NUMBERS
Analysis
 
6. FORMING SEQUENCES FROM A GENERAL TERM OR NTH TERM

Once you know the general term or nth term it is easy to find any term in a sequence. Just substitute the letter n for the number of the position of the term you want to find in the sequence. In this case the sequence is made up of even numbers.
10.- In your exercise book write down the general term or nth term of the sequence in this window, the first ten terms in the sequence and the 15th, 321st, and 1,083rd terms.
   
7. THE SEQUENCE OF THE SQUARES OF NATURAL NUMBERS
 

11.- In your exercise book write down the nth term of the sequence in this window, the first ten terms in the sequence and the 32nd, 156th, and 2,345th terms.
 
8. SEQUENCES OF ALGEBRAIC FRACTIONS
 

12.- In your exercise book write down the general term of the sequence in this window, the first ten terms in the sequence and the 42nd, 221st, and 1,560th terms together with its approximate decimal value.
9. ALTERNATING SEQUENCES
Below is an example of a sequence of positive and negative numbers which alternate, hence its name, alternating sequence.

13.- In your exercise book write down the general term of the sequence in this window, the first ten terms in the sequence and the 25th, 26th,  213th, 214th, 1,324th and 1,325th terms.
       
           
  Juan Madrigal Muga
 
Spanish Ministry of Education. Year 2002
 
 

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