The wildflowers at a national park have been increasing in numbers. There were 1200 wildflowers in the first year that the park started tracking them. Since then, there has been one fourth as many new flowers each year. Create the sigma notation showing the infinite growth of the wildflowers and find the sum, if possible.

Question

anonymous · Answer

attachment

anonymous · Answer

@ganeshie8

anonymous · Answer

@beccaboo333

beccaboo333 · Answer

@ganeshie8  come help her, I do not know how to math.

anonymous · Answer

lol you don't know this topic in math! @beccaboo333

ganeshie8 · Answer

First figure out the info given :

$a_1 =  1200$

$r = \dfrac{1}{4}$

ganeshie8 · Answer

since  |r|  = 1/4 which is less than 1, the series is Convergent.
so which option u can eliminate right away ?

anonymous · Answer

b @ganeshie8

ganeshie8 · Answer

and we can eliminate `d` also

ganeshie8 · Answer

So answer is between `a` and `c`

ganeshie8 · Answer

Look at option A :
we're given that there were 1200 flowers in first year
and since the flowers are increasing, How can the total flowers become 400 ?

 isnt that silly ?

anonymous · Answer

yes, yes it is! @ganeshie8

ganeshie8 · Answer

So..

anonymous · Answer

The answer would be A @ganeshie8

ganeshie8 · Answer

nope, answer is C

ganeshie8 · Answer

A is wrong because, 
1200 cannot ever become 400 if the flowers are increasing each year.

anonymous · Answer

oops sorry I mean to put that answer! Thank you so much for your help though!

ganeshie8 · Answer

u wlc ^_^

anonymous · Answer

Hey can you help me with this next question! @ganeshie8 

Identify whether the series sigma notation infinity i=1 15(4)^i-1  is a convergent or divergent geometric series and find the sum, if possible

a   This is a divergent geometric series. The sum is –5. 
b   This is a convergent geometric series. The sum is –5. 
c   This is a divergent geometric series. The sum cannot be found. 
d   This is a convergent geometric series. The sum cannot be found.