Learning Objectives:

__Math Tutoring on Growth__

In Math Tutoring,** Recursive Relationships** are excellent for describing simply and cleanly how a quantity is changing. However, they are not convenient for making predictions or solving problems that stretch far into the future. For that, a closed or

__Linear Growth:____ __

If a quantity starts at size **‘ P_{0}’**

*Recursive Form:** *

*Explicit Form: *

In this equation, **‘ d’** represents the

__Exponential Growth:__

If a quantity starts at size **‘****’** and grows by **‘****’** (written as a decimal, ** r**) every time period, then the quantity after

*Recursive Form: *

*Explicit Form: *

We call **‘ r’** the

__Logistic Growth:__

If a population is growing in a constrained environment with **Carrying Capacity** **‘ K’**, and absent constraint would grow exponentially with

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**Hook questions:**

*1. **What is Recursive and Explicit Relationship?*

*2. **State Recursive and Explicit form of Linear & Exponential Growth?*

*3. **Define Logistic Growth.*

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