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vivado [14]
3 years ago
15

Given the Arithmetic sequence A1,A2,A3,A4 20, 27, 34, 41 What is the value of A17 ?

Mathematics
1 answer:
Sedaia [141]3 years ago
5 0
A17=132
27-20=7 and 34-27=7 so they're adding 7 to each term
A17-A4=13 terms between the last one you're given and the one you're trying to find.
13*7=91
91+41=132
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Logan genetically engineered a new type of fir tree and a new type of pine tree. The combined height of one fir tree and one pin
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Answer:

The types of trees that Logan genetically engineered are fir trees <u>9 meters</u> tall and pine trees <u>12 meters</u> tall.

Step-by-step explanation:

Given:

The combined height of one fir tree and one pine tree is 21 meters.

The height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.

Now, to find the height of types of trees that Logan genetically engineered.

<em>Let the height of fir tree be </em>x.<em />

<em>And let the height of pine tree be </em>y.<em />

So, the combined height of both the trees:

x+y=21\\\\x=21-y\ \ \ .....(1)

As given, the height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.

Thus,

4x=y+24

Now, substituting the value of x from equation (1):

4(21-y)=y+24

<em />84-4y=y+24<em />

<em>Subtracting both sides by 24 we get:</em>

<em />60-4y=y<em />

<em>Adding both sides by </em>4y<em> we get:</em>

<em />60=5y<em />

<em>Dividing both sides by 5 we get:</em>

12=y\\\\y=12\ meters.

<u>The height of pine trees = 12 meters.</u>

Now, substituting the value of y in equation to get the height of fir trees:

x=21-y\\\\x=21-12\\\\x=9\ meters.

<u>The height of fir trees = 9 meters.</u>

Therefore, the types of trees that Logan genetically engineered are fir trees 9 meters tall and pine trees 12 meters tall.

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