Answered

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

Sagot :

Devishri1977idn

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.

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