The trees at a national park have been increasing in numbers. There were 200 trees in the first year that the park started tracking them. Since then, there have been one fifth as many new trees each year. Create the sigma notation showing the infinite growth of the trees and find the sum, if possible?

Question

anonymous · Answer

attachment

anonymous · Answer

I think its b?

anonymous · Answer

i know what the equation is, but I don't know if it is divergent or not...

anonymous · Answer

@hoblos  last question...

hoblos · Answer

$$\lim_{i \rightarrow \infty} (\frac{ 1 }{ 5 })^{i-1} = 0$$
thus here the sequence is diverging to 0 thus the sum can't be calculated

anonymous · Answer

yay!! so it was correct :D

hoblos · Answer

but you have to consider one more thing,
"There were 200 trees in the first year that the park started tracking them"

hoblos · Answer

for B, the first term would be 1000
it must be 200

anonymous · Answer

hmmm...  what about the table?

hoblos · Answer

in the table they are numbering the years, but they said that in the first year that the park started tracking them there were 200 trees, so they must have started the tracking from year 2

anonymous · Answer

ok, but the equation is still correct, right?

hoblos · Answer

the equation of B starts with 1000, you have to find the equation that starts with 200

anonymous · Answer

there isn't one O.o

hoblos · Answer

what about the last one ?
for i=1
1000(1/5) = 200

anonymous · Answer

you're right! ohh... ok, thanks  that makes sense now :D

hoblos · Answer

any time :D

anonymous · Answer

:D

anonymous · Answer

what was the answer?

anonymous · Answer

@MelissaHolmes

anonymous · Answer

The answer is A .. 100% sure , just took the test @ilovehim121511