Question

Does the infinite geometric series diverge or
converge? Explain.
5 + 20 + 80 + 320 +

Answer 1

Diverge

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 + .....

`\sf Common \ ratio = (second \ term)/(first \ term)\\`

`\sf r = (20)/(5)\\\\ r = 4`

r = 4 is not in the interval -1 < r < 1. So this infinite geometric series diverges.