Question

A certain species of tree grows an average of 0.5 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 800 centimeters tall.

Answer 1

an = 799.5 + 0.5n

Explanation:

a1 = 800

an = a1 + (d - 1)

an = 800 + 0.5(n - 1)

an = 800 + 0.5n - 0.5

an = 799.5 + 0.5n

Answer 2

y = 0.5x + 800 will be the equation.

Explanation:

A certain species of tree grows with an average of 0.5 cm per week.

So rate of change in growth is 0.5 cm per week.

Initial height of the trees is 800 cm.

This phenomenon of growth will be represented by a linear equation

y = mx + c

Where c = height of the tree in the beginning

and m = rate of change in the growth of the trees

Therefore, the equation that represents the sequence will be

y = 0.5x + 800