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.
