Create your own real-world problem which uses either an arithmetic or geometric sequence to solve it. Include the solution, with work and explanation, to your problem.

Let's say that you're in your room and you find that the current temperature of 72 degrees is too cold, so slowly you increase the temperature of the room by two degrees.

We know that the explicit formula is

a^n=a^1 + (n-1) d

and so by substituting the given information in

a^n = 72 + (n-1) 2

a^1=Initial temp

d = rate of change

by substitution a value of n (the term we are looking for) into this equation, you can then calculate the temperature that you just set the room too.