Acertain 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 200 centimeters tall.

The heights of the tree form an arithmetic sequence. The first measurement is 200 cm, so the first term a₁=200. The tree grows 0.5 cm per week, so the common difference d=0.5.



The equation for the weekly height is:

where n is the number of week.

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: multiply exponents per exponent rules to get: remember you subtract exponents from the denominator and add exponents in the numerator so: simplify further: so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.