Question

A certain species of tree grows an average of 3.8 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 5 meters tall.


Help me please

Answer 1

In this case we have the arithmetic progression with the first term 5 and step 3.8.
The n-th term of this progression can be written as
a_n = a_1 + (n-1)d = 5+ (n-1)*3.8
where n is the number of weeks.