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Anton [14]
3 years ago
12

A certain species of tree grows an average of 4.2 cm per week. write an equation for the sequence that represents the weekly hei

ght of this tree in centimeters if the measurements begin when the tree is 200 centimeters tall.
Mathematics
1 answer:
AURORKA [14]3 years ago
6 0

Average growth rate = 4.2 cm/week.

So, common difference d = 4.2

<span>The height of the tree a0 = 200 centimeters.</span>

The height of the tree after end of the first  week a₁ = 200 + 4.2 = 200 + 4.2(1)

The height of the tree after end of the second  week  a₂ = 200 + 4.2 + 4.2 = 200 + 4.2(2).

<span>The height of the tree after end of the third  week a3 = 200 + 4.2 + 4.2 + 4.2 = 200 + 4.2(3).</span>

<span>The height of the tree after the end of the nth week an =  200 + 4.2(n).</span>

<span>The equation is <span>a_n</span><span></span><span> = 200 + 4.2(n)</span>.</span>

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