SteffaniS30979 SteffaniS30979
  • 03-11-2022
  • Mathematics
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Determine whether the following incite geometric series diverges or converges. If the series converges, state the sum. 8 + 16 + 32 + •••

Determine whether the following incite geometric series diverges or converges If the series converges state the sum 8 16 32 class=

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ShimonE501640 ShimonE501640
  • 03-11-2022

Given the series: 8 + 16 + 32 + ....

So, in this series, r is:

[tex]r=2[/tex]

In other words, we're doubling each term, so our common ratio is 2.

And 2 > 1, That means the series diverges and its sum is infinitely large. So we can't find the sum.

Answer:

B. The series diverges

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