Question

I need some help one sec while I write the question

Answer 1

\[\sum_{i=1}^{infinity} 16(5)^{i-1}\]

Answer 2

Identify whether the series is a convergent or divergent geometric series and find the sum, if possible.

This is a convergent geometric series. The sum cannot be found.

This is a divergent geometric series. The sum cannot be found.

This is a convergent geometric series. The sum is –4.

This is a divergent geometric series. The sum is –4.


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Answer 3

you can rewrite it as:
\[\frac{16}{5} \sum_{i=1}^{\infty} 5^i\]
5^i gets infinitely large and does not converge
sum is divergent

Answer 4

Ok

Answer 5

sum therefore is infinite and cannot be determined

Answer 6

Thanks!

Answer 7

Wait, how do I tell if its convergent or divergent???

Answer 8

as i -> infinity , if output keep getting larger then it diverges
if output seems to get closer and closer to some number then it converges

Answer 9

Ok thanks so much!

Answer 10

yw