Answer:
Diverge
Step-by-step explanation:
Infinite geometric series:
- In infinite geometeric series, if the common ratio 'r' is in between the interval -1 < r < 1, then it converges.
- If the common ratio 'r' is is not in the interval -1 < r < 1, then it diverges.
5 + 20 + 80 + 320 + .....
[tex]\sf Common \ ratio = \dfrac{second \ term}{first \ term}\\[/tex]
[tex]\sf r = \dfrac{20}{5}\\\\ r = 4[/tex]
r = 4 is not in the interval -1 < r < 1. So this infinite geometric series diverges.
