Help .. A. 600, 0 B. 50, 350 C. 0, 500

Mathematics

1 answer:

Len [333]2 years ago

6 0

Answer:

C.0, 500

Step-by-step explanation:

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The trees at a national park have been increasing in numbers. There were 1,000 trees in the first year that the park started tra

ivanzaharov [21]

The sequence forms a Geometric sequence as the rule to obtain the value for the next term is by ratio

Term 1: 1000
Term 2: 200
Term 3: 40

From term 1 to term 2, there's a decrease by $\frac{1}{5}$
From term 2 to term 3, there's a decrease also by $\frac{1}{5}$

The rule to find the $n^{th}$ term in a sequence is
$n^{th}=a r^{n-1}$ , where $a$ is the first term in the sequence and $r$ is the ratio

So, the formula for the sequence in question is
$n_{th}$ term = $1000( \frac{1}{5} ^{n-1} )$

The sequence is a divergent one. We can always find the value of the next term by dividing the previous term by 5 and if we do that, the value of the next term will get closer to 'zero' but never actually equal to zero.

We can find a partial sum of the sequence using the formula
$S_{∞} = \frac{a}{1-r}$ for -1<r<1
Substituting $a=1000$ and $r= \frac{1}{5}$ we have
$S_{∞}$ = $\frac{1000}{1- \frac{1}{5} }$ = 1250

Hence, the correct option is option number 1

6 0

3 years ago

the length of 3 peices of wire are in the ratio 10:15:8.if the length of the shortest peice of wire is 2.4 find the difference i

dalvyx [7]

10:15:8
3:4.5:2.4
The difference = 1.5

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2 years ago

What is the slope of the line that passes through the points (-2, -3), and (5, 4)?

fomenos

Hi!

<h3>To find the slope, use this formula</h3>

$\frac{y2-y1}{x2-x1}$