The population of a type of local dragonfly can be found using an infinite geometric series where a1 = 65 and the common ratio is one sixth. Find the sum of this infinite series that will be the upper limit of this population. @phi

Question

gabylovesyou · Answer

78
 28
 11
 32

phi · Answer

do  your notes have a formula for the sum of a geometric series?

anonymous · Answer

$$\left| r \right|=\frac{ 1 }{ 6 }<1$$
$$s=\frac{ a }{ 1-r }$$

anonymous · Answer

a=65

gabylovesyou · Answer

@surjithayer i still dont know how to find r

gabylovesyou · Answer

@FibonacciChick666

fibonaccichick666 · Answer

r is the common ratio

gabylovesyou · Answer

SO ...

$$s = \frac{ 65 }{ 1 - 1/6 }$$

gabylovesyou · Answer

so the answer is 78 @FibonacciChick666 ?

anonymous · Answer

r is given as 1/6
your answer is correct.

anonymous · Answer

$$when ~\left| r \right|<1,r^n \rightarrow0 ~as~n \rightarrow \infty $$

gabylovesyou · Answer

thank you.

anonymous · Answer

yw