Given:
The multiples of 2 form a sequence as follows: 2, 4, 6, 8, 10, 12, 14, 16, ...
To find:
Description of the sequence you see. What about the multiples of three? Four? Five?
Solution:
The multiples of 2 form a sequence as follows:
2, 4, 6, 8, 10, 12, 14, 16, ...
It is defined as [tex]a_n=2n[/tex], where n is a natural number. It represents all positive even numbers.
Multiples of 3, 4 and 5 form the respective sequences:
[tex]a_n=3n[/tex], i.e., 3, 6, 9, 12, 15, 18, 21, 24,...
[tex]a_n=4n[/tex], i.e., 4, 8, 12, 16, 20, 24, 28, 32...
[tex]a_n=5n[/tex], i.e., 5, 10, 15, 20, 25, 30, 35, 40...
