Question

If the bamboo has a height `20` inches on `0` day and rises `24` inches each day, the expression that can be used to determine the height of bamboo is? Here `h_n` shows the height of tree on `n^(th)` day.

(I) `h_n=20+4n`
(II) `h_n=24+n`
(III) `h_n=h_(n-1)+4`

Answer 1

It is the function I and III, both which can be used to determine the height of bamboo.

Explanation:

As the bamboo has a height `20` inches on `0` day and rises `24` inches each day, obviously function I is correct.

However, function III too shows the same result as it indicates that height rises `24` inches over previous day, but on `0` day it is `20` inches. The difference is that the function III is recursive function.

It is the function I and III, both which can be used to determine the height of bamboo.