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? *

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 , where n is a natural number. It represents all positive even numbers.

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

, i.e., 3, 6, 9, 12, 15, 18, 21, 24,...

, i.e., 4, 8, 12, 16, 20, 24, 28, 32...

, i.e., 5, 10, 15, 20, 25, 30, 35, 40...

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions