Function Patterns Homework Help

[hammonjj]

Homework Statement

So I'm taking a class that's purpose is to go over, in great detail, the concepts that secondary students learn. It's intended to prepare teachers for the material they will have to teach.

Unfortunately, we are working on something called "Function Patterns" and I have no clue what they are. I've Googled this thing until I hit the end of the internet and am still lost. I'm sure this is super simple, but I have no idea what he is talking about.

I've included a picture of the whole page, so I don't miss showing anything!

http://imgur.com/uwk71

Thanks in advance!

 

[Mark44]

Homework Statement

So I'm taking a class that's purpose is to go over, in great detail, the concepts that secondary students learn. It's intended to prepare teachers for the material they will have to teach.

Unfortunately, we are working on something called "Function Patterns" and I have no clue what they are. I've Googled this thing until I hit the end of the internet and am still lost. I'm sure this is super simple, but I have no idea what he is talking about.

I've included a picture of the whole page, so I don't miss showing anything!

http://imgur.com/uwk71

Thanks in advance!

I don't think the term "function pattern" is in common usage, but the idea is to recognize patterns in the function values. In this problem you're supposed to recognize that each time you increase the t value by 2 (hours), you halve the previous value of M(t). As stated in the problem, the half-life of the tracking substance is about 2 hours.

 

[hammonjj]

I don't think the term "function pattern" is in common usage, but the idea is to recognize patterns in the function values. In this problem you're supposed to recognize that each time you increase the t value by 2 (hours), you halve the previous value of M(t). As stated in the problem, the half-life of the tracking substance is about 2 hours.

I guess I'm still confused them, question C asks why you can't use this "pattern" to to find M(21), but you clearly can. It's tedious, but you just have to find all of the previous values.

Thoughts?

 

[PhysicsGente]

I guess I'm still confused them, question C asks why you can't use this "pattern" to to find M(21), but you clearly can. It's tedious, but you just have to find all of the previous values.

Thoughts?

Numbers on the left column are integers.