Question

determine whether each infinite geometric series converges or diverges. if the series converges, state the sum. i have to problems
1) 150+30+6+......
2) -10-20-40-.....

Answer 1

help @whpalmer4

Answer 2

second one doesn't converge for sure, the terms do not even go to zero

Answer 3

ok so there is one how do we find the first one????

Answer 4

first one has a common ratio of \(r=\frac{1}{5}\)
compute
\[\frac{150}{1-\frac{1}{5}}\] to add it up

Answer 5

you can almost do it in your head
what is \(1-\frac{1}{5}\) ?

Answer 6

um .8???

Answer 7

or 4/5

Answer 8

@satellite73

Answer 9

will the sum be 7.5????

Answer 10

\[\frac{150}{1-\frac{1}{5}} = \frac{150}{\frac{4}{5}} = 150 * \frac{5}{4} = \]

Answer 11

dividing by \(\frac{4}{5}\) is the same as multiplying by \(\frac{5}{4}\)
compute
\[150\times \frac{5}{4}\]

Answer 12

ooh, what @whpalmer4 said