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professor190 [17]
3 years ago
8

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.

Mathematics
2 answers:
Andreas93 [3]3 years ago
5 0

Answer:

Step-by-step explanation:

We have total 1200 wildflowers in first year that is first term a  is 1200

We have to find sigma notation  showing the infinite growth of the wildflowers.

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

Formula for infinite sum of GP is S_{\infty}=\frac{a}{1-r}

Here, a=1200,r=\frac{1}{4}

On substituting the values in the formula of sum we get:

S_{\infty}=\frac{1200}{1-\frac{1}{4}}

On simplification we get:

S_{\infty}=\frac{1200}{\frac{3}{4}}=1600

Therefore, total sum of wildflowers 1600.

Aleonysh [2.5K]3 years ago
3 0

To answer this question, please see the attached image:

 

I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

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