Question

A gamer decides to do some level grinding (hunting enemies to get experience points). With a time interval of one minute, and assuming linear growth:A) Write a recursive equation for the number of experience points he has.B) Write an explicit equation for the number of experience point as he has.C) How many experience points will he have after 32 minutes?D) If he levels up 8000 experience points, how many minutes before he levels up?

Answer 1

The formula for an arithmetic sequence is given to be:

`a_n=a_1+(n-1)d`

where

`\begin{gathered} a_n=\text{ nth term} \\ a_1=\text{first term} \\ n=\text{ position of term} \\ d=\text{ common difference} \end{gathered}`

From the question, we have an interval of 1 minute. Therefore, we have the common difference to be 1:

`d=1`