You can put this solution on YOUR website!
Yes, these are functions.
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic series?
I would suggest an arithmetic series to be a linear function. In arithmetic sequences, you would either add or subtract to get the value. In linear functions, addition and subtraction is due to the slope.
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric series?
For this, I think it is represented by the exponential function. The standard form for the exponential function is:
. The standard form for geometric sequences is:
. They look quite alike.
An example of the arithmetic sequences could be to determine pay. If you get payed five bucks a week, you can determine how much you make a month or a year.
An example of the geometric sequences could be to determine height of a bouncy ball. If a ball's height after being dropped reduces (1/3) as a ratio to its previous bounce, you can determine its height after
amount of bounces.