A tree in the Amazon rain forest grows an average of 2.3cm per week. Write a sequence that represents the weekly height of the tree over the course of 1 year if it is 7 meters tall today. Write a recursive formula for the sequence.

Question

anonymous · Answer

let's make x the number of weeks.
What would you multiply x by i this formula?

geometry_hater · Answer

52

anonymous · Answer

ummm no that's the number of weeks in a year.

geometry_hater · Answer

52 weeks are in a year

anonymous · Answer

yes that's what I said.

anonymous · Answer

x is the changing variable in this case.

anonymous · Answer

What is changing about the tree?

geometry_hater · Answer

the 2.3 cm?

anonymous · Answer

yes correct. So you multiply x by 2.3cm

Now initially we have the tree at 7 meters. So we have to add it to the formular

7meters + x*2.3cm=y

where y is the height of the tree after a certain number of weeks

You can convert all the values to the same SI unit like turn cm into meters or meters into cm so that everything is the same

geometry_hater · Answer

ok thanks for helping