Respuesta :

Answer:

It is a geometrical progression

Step-by-step explanation:

Geometric progressions have a constant number that they are multiplied by

To find that number you divide the 2nd term by the 1st term and also the 4th term by the 3rd term. ie,

[tex]\frac{-40}{20} = \frac{-10}{5} \\[/tex]

[tex]-2 = -2[/tex]

since they are both equal it is a G.P

Because they have a constant ratio.

Answer:

Geometric progression.

Step-by-step explanation:

I suppose you mean this equation:

5, -10, 20, -40, ...

For a geometric progression, an n^th term is given by:

[tex]a_{n}[/tex] = [tex]a_{n - 1}[/tex] × r

Where a is the first time, n is the term and r is the common ratio.

The common ratio here is -2 .

For instance to check the forth term;

[tex]a_{4}[/tex] = [tex]5_{4 - 1}[/tex] × -2  = 20 × -2 = -40