2, -2, 2, -2, ...
This is a geometric progression.
First term = 2
The rate of geometric progression = -1
a1 = 2
a2 = a1 × (-1) = -2
a3 = a2 × (-1) = 2
And so on
⇒ This is a infinite geometric sequence
Answer:
Infinite geometric sequence
Step-by-step explanation:
2, -2, 2, -2, ...
Lets find the difference of the terms
-2 -2=0
2-(-2)=0
LEts check with common ratio
-2/2= -1
2/-2=-1
so common ratio r=0, so its geometric
The sequence is repeating because of common ratio -1
So it goes on infinitely
Hence it is Infinite geometric sequence