The wildflowers at a national park have been decreasing in numbers. There were 1200 wildflowers in the first year that the park started tracking them. Since then, there have 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

year      new flowers
1           1200
2            300
3             75

anonymous · Answer

The problem is divergent right?

lxelle · Answer

First figure out the info given : a1=1200 r=14

anonymous · Answer

that its not divergent

lxelle · Answer

since |r| = 1/4 which is less than 1, the series is Convergent

anonymous · Answer

can i show you what i think the answer is?

anonymous · Answer

$$\sum_{i=1}^{\infty}1200(\frac{ 1 }{ 4})^{i-1}; 1600 wildflowers$$

lxelle · Answer

bingo!

anonymous · Answer

thanks for your help (:

lxelle · Answer

No prblm.