Question

The multiples of 2 form a sequence as follows: 2, 4, 6, 8, 10, 12, 14, 16, ... Describe the sequence you see. What about the multiples of three? Four? Five? *

Answer 1

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
`a_n=2n`, where n is a natural number. It represents all positive even numbers.

Multiples of 3, 4 and 5 form the respective sequences:

`a_n=3n`, i.e., 3, 6, 9, 12, 15, 18, 21, 24,...

`a_n=4n`, i.e., 4, 8, 12, 16, 20, 24, 28, 32...

`a_n=5n`, i.e., 5, 10, 15, 20, 25, 30, 35, 40...