Respuesta :

piradii2
The series is an geometric series, terms are generated by multiplying x.

Answer: It is a geometric series.

Step-by-step explanation:

Since we have given that

[tex]2x+2x^2+2x^3+.............+2x^n[/tex]

Here, first term = 2x

Second term = 2x²

So, we can see that there is common ratio, i.e.

[tex]r=\dfrac{a_2}{a_1}=\dfrac{2x^2}{2x}=x[/tex]

Hence, any sequence with common ratio would be geometric series.

Hence, It is a geometric series.