Question 53287
Arithmetic Sequence can look like this: 0,2,4,6,8,10....x + 2
Simply, you add two each time. Relatively, you just add a basic constant.
This can be seen in a linear line as: y = 2x + 0
A linear line shows that after {{{x}}} values there are the constant times that value for {{{x}}}.
Geometric Sequence can look like this: 1,3,9,27,81,243....3^x
Simply, you just multiply by three eacch time.
Think about this:
for 0 values ~> 3^0 = 1
for 1 value ~> 3^1 = 3
for 2 values ~> 3*3 = 9
Of course, this looks like: y = 3^x
Geometric sequence looks like an exponential function.
Example:
Arithmetic: If you develop two bumps a day, how many bumps would you have in a week?! Explains that you should check a docter....
Geometric: Bouncing of a ball may be decided as 1/3 of the previous bounce. This could better help you understand physics. Will the ball bounce forever? Mathematically, yes! Realistically, no!