Arithmetic and geometric progressions

[dancho]

What is the difference between arithmetic progression and geometric progression or they are the same thing?

[Fed_BG]

They are not the same thing.

The arithmetic progression is described with , where

The geometric progression is described with , where

Examples:

Arithmetic: 2, 4, 6, 8, 10,... d=2

Geometric: 2, 4, 8, 16, 32,... q=2

[Guest]

The example above shows that arithmetic progression increases much slower than geometric progression.

[Guest]

Hi guys,
you may think that my question is foolish but
I do not understand the example above why d=2 and q=2 ?

Arithmetic progression: 2, 4, 6, 8, 10,... d=2
Geometric progression: 2, 4, 8, 16, 32,... q=2

[Guest]

Hi guys,
you may think that my question is foolish but
I do not understand the example above why d=2 and q=2 ?

Arithmetic progression: 2, 4, 6, 8, 10,... d=2
Geometric progression: 2, 4, 8, 16, 32,... q=2

Hi, in answer to your question,

in arithmetic progression d stands for 'difference'
so you would add the value of d to the previous number in the sequence to find out the next one. that's why in
2, 4, 6, 8,.. d = 2 because it's going up by 2.

in geometric progression q, i think, stands for 'quotient'
it's similar to arithmetic progression, but instead of adding the value, you times the value of q to the previous number to find out the next number in the sequence.
therefore in the sequence: 2,4,8,16, 32 .. q = 2 because you are multiplying 2 each time
hope this helps