Question

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

Answer 1

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 + .....

   $\sf Common \ ratio = \dfrac{second \ term}{first \ term}$

        $\sf r = \dfrac{20}{5}\\\\ r = 4$

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