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