- [Maximum mark: 8]
The annual growth of a tree is 80% of its growth during the previous year.
This year the tree is 42 m in height and one year ago its height was 37 m.
(a) Calculate the annual growth of the tree in the coming year. [2]
(b) Calculate the height of the tree 6 years from now. Give your answer correct to the nearest cm. [4]
If the tree continues to follow this pattern of growth, its height will never exceed k metres.
(c) Find the smallest possible value of k. [2]